300 (number)
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Three hundred is the natural number following two hundred ninety-nine and preceding three hundred one.
Cardinal | Three hundred |
Ordinal | 300th |
Factorization | <math>2^2 \cdot 3 \cdot 5^2<math> |
Roman numeral | CCC |
Binary | 100101100 |
Hexadecimal | 12C |
Hebrew | ש (Shin) |
Mathematical properties
It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.
Other fields
Three hundred is
- In bowling, a perfect score, achieved by rolling strikes in all ten frames.
- The title of a comic book about the Battle of Thermopylae.
For the year, see 300.
See also: one hundred, two hundred, four hundred
Three hundred and one CCCI 301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103).
It's also HTTP status code indicating the content has been moved and the change is permanent
Further, it's the area code for telephone numbers in the United States State of Maryland. It is overlaid by area code 240. It touches the 202 area code of Washington, DC, the 717, 724, 814, and 878 area codes in the Commonwealth of Pennsylvania, as well as the 540, 571, 703, 751 and 804 area codes in the Commonwealth of Virginia. Other area codes in Maryland are 227, 410, 443, and 667.
For the year, see AD 301.
Three hundred and two CCCII 302 = 2·151, nontotient, also telephone area code for Delaware, also HTTP status code indicating the content has been moved
Three hundred and three CCCIII 303 = 3·101, also telephone area code for parts of Colorado, also a proposed HTTP status code
Three hundred and four CCCIV 304 = 2^4·19, sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient, also telephone area code for West Virginia, also HTTP code indicated the content has not been modified
Three hundred and five CCCV 305 = 5·61, also telephone area code for parts of Florida
Three hundred and six CCCVI 306 = 2·3^2·17, sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number, also telephone area code for Saskatchewan
Three hundred and seven CCCVII 307, prime number, also telephone area code for Wyoming
Three hundred and eight CCCVIII 308 = 2^2·7·11, nontotient, Harshad number
Three hundred and nine CCCIX 309 = 3·103
Three hundred and ten CCCX 310 = 2·5·31, sphenic number, noncototient, self number
Three hundred and eleven has its own article.
Three hundred and twelve CCCXII 312 = 2^3·3·13, Harshad number, self number
Three hundred and thirteen CCCXIII 313, prime number, palindromic prime, centered square number, also telephone area code for Detroit, Michigan
Three hundred fourteen CCCXIV 314 = 2·157, nontotient
Three hundred fifteen CCCXV 315 = 3^2·5·7, Harshad number
Three hundred sixteen CCCXVI 316 = 2^2·79, centered triangular number, centered heptagonal number
Three hundred seventeen CCCXVII 317, prime number, strictly non-palindromic number
Three hundred eighteen CCCXVIII 318 = 2·3·53, sphenic number, nontotient
Three hundred nineteen CCCXIX 319 = 11·29, sum of three consecutive primes (103 + 107 + 109), Smith number
Three hundred twenty CCCXX 320 = 2^6·5, Harshad number
Three hundred twenty one CCCXXI 321 = 3·107
Three hundred twenty two CCCXXII 322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number
Three hundred twenty three CCCXXIII 323 = 17·19, sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number
Three hundred twenty four CCCXXIV 324 = 2^2·3^4 = 18^2, sum of four consecutive primes (73 + 79 + 83 + 89), Harshad number, untouchable number
Three hundred twenty five CCCXXV 325 = 5^2·13, triangular number, hexagonal number, nonagonal number, centered nonagonal number
Three hundred twenty six CCCXXVI 326 = 2·163, nontotient, noncototient, untouchable number
Three hundred twenty seven CCCXXVII 327 = 3·109; this number appears in all Star Wars movies
Three hundred and twenty eight CCCXXVIII 328 = 2^3·41, sum of the first fifteen primes
Three hundred twenty nine CCCXXIX 329 = 7·47, sum of three consecutive primes (107 + 109 + 113), highly cototient number
Three hundred and thirty CCCXXX 330 = 2·3·5·11, sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number, Harshad number, divisible by the number of primes below it, also the number of dimples on a British golf ball
Three hundred thirty one CCCXXXI 331, prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0
Three hundred thirty two CCCXXXII 332 = 2^2·83, Mertens function returns 0
Three hundred thirty three CCCXXXIII 333 = 3^2·37, Mertens function returns 0, Harshad number
Three hundred thirty four CCCXXXIV 334 = 2·167, nontotient, self number
Three hundred thirty five CCCXXXV 335 = 5·67, divisible by the number of primes below it
Three hundred and thirty six CCCXXXVI 336 = 2^4·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball
Three hundred thirty seven CCCXXXVII 337, prime number, permutable prime with 373 and 733, star number
Three hundred thirty eight CCCXXXVIII 338 = 2·13^2, nontotient
Three hundred thirty nine CCCXXXIX 339 = 3·113
Three hundred forty CCCXL 340 = 2^2·5·17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4^1 + 4^2 + 4^3 + 4^4), divisible by the number of primes below it, nontotient, noncototient
Three hundred forty one CCCXLI 341 = 11·31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number
Three hundred forty two CCCXLII 342 = 2·3^2·19, pronic number, Harshad number, untouchable number
Three hundred forty three CCCXLIII 343 = 7^3, nice Friedman number since 343 = (3 + 4)^3
Three hundred forty four CCCXLIV 344 = 2^3·43, octahedral number, noncototient
Three hundred forty five CCCXLV 345 = 3·5·23, sphenic number, self number
Three hundred forty six CCCXLVI 346 = 2·173, Smith number, noncototient
Three hundred forty seven CCCXLVII 347, prime number, safe prime, Friedman number since 347 = 7^3 + 4, strictly non-palindromic number
Three hundred forty eight CCCXLVIII 348 = 2^2·3·29, sum of four consecutive primes (79 + 83 + 89 + 97)
Three hundred forty nine CCCXLIX 349, prime number, sum of three consecutive primes (109 + 113 + 127)
Three hundred fifty CCCL 350 = 2·5^2·7, primitive semiperfect number, divisible by the number of primes below it, nontotient
Three hundred fifty one CCCLI 351 = 3^3·13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), Harshad number
Three hundred fifty two CCCLII 352 = 2^5·11
The number of n-Queens Problem solutions for n = 9.
Three hundred fifty three CCCLIII 353, prime number, palindromic prime, Mertens function returns 0
Three hundred fifty four CCCLIV 354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input
Three hundred fifty five CCCLV 355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it
Three hundred fifty six CCCLVI 356 = 2^2·89, Mertens function returns 0, self number
Three hundred fifty seven CCCLVII 357 = 3·7·17, sphenic number
Three hundred fifty eight CCCLVIII 358 = 2·179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0
Three hundred fifty nine CCCLIX 359, prime number, safe prime, strictly non-palindromic number
Three hundred and sixty now has its own article.
Three hundred sixty one CCCLXI 361 = 19^2, centered triangular number, centered octagonal number, centered decagonal number, also the number of positions on a standard 19 x 19 Go board
Three hundred sixty two CCCLXII 362 = 2·181, Mertens function returns 0, nontotient, noncototient
Three hundred sixty three CCCLXIII 363 = 3·11^2, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0
Three hundred sixty four CCCLXIV 364 = 2^2·7·13, tetrahedral number, Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas".
Three hundred sixty five CCCLXV 365 = 5·73 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2, centered square number, the approximate number of solar days in a tropical year. Several varieties of calendar have resulted from attempts to divide the 29.5-day lunar month and traditional 7-day week into the 365.25 day year.
Three hundred sixty six CCCLXVI 366 = 2·3·61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; It's 26-gonal and 123-gonal.
Three hundred sixty seven CCCLXVII 367, prime number, self number, strictly non-palindromic number
Three hundred sixty eight CCCLXVIII 368 = 2^4·23
Three hundred sixty nine CCCLXIX is the magic constant of nxn magic square and n-Queens Problem for n = 9; there are 369 free polyominoes of order 8.
Three hundred seventy CCCLXX 370 = 2·5·37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, Harshad number
Three hundred seventy one CCCLXXI 371 = 7·53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67)
Three hundred seventy two CCCLXXII 372 = 2^2·3·31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number
Three hundred seventy three CCCLXXIII 373, prime number, permutable prime with 337 and 733, palindromic prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83)
Three hundred seventy four CCCLXXIV 374 = 2·11·17, sphenic number, nontotient
Three hundred seventy five CCCLXXV 375 = 3·5^3, Harshad number, also spur routes of Interstate 75
Three hundred seventy six CCCLXXVI 376 = 2^3·47, 1-automorphic number, nontotient
Three hundred seventy seven CCCLXXVII 377 = 13·29, Fibonacci number, sum of the squares of the first six primes
Three hundred seventy eight CCCLXXVIII 378 = 2·3^3·7, triangular number, hexagonal number, Smith number, Harshad number, self number
Three hundred seventy nine CCCLXXIX 379, prime number
Three hundred eighty CCCLXXX 380 = 2^2·5·19, pronic number, also, model number of the Airbus A380, the largest airplane as of 2005
Three hundred and eighty one CCCLXXXI 381 = 3·127, sum of the first sixteen primes
Three hundred eighty two CCCLXXXII 382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number
Three hundred eighty three CCCLXXXIII 383, prime number, safe prime, Woodall prime, Thabit number, palindromic prime
Three hundred eighty four CCCLXXXIV 384 = 2^7·3, sum of a twin prime (191 + 193), sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8
Three hundred eighty five CCCLXXXV 385 = 5·7·11, sphenic number, square pyramidal number
Three hundred eighty six CCCLXXXVI 386 = 2·193, nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip
Three hundred eighty seven CCCLXXXVII 387 = 3^2·43, also shorthand for the Intel 80387, math coprocessor chip to the 386
Three hundred eighty eight CCCLXXXVIII 388 = 2^2·97
Three hundred eighty nine CCCLXXXIX 389, prime number, highly cototient number, self number, strictly non-palindromic number
Three hundred ninety CCCXC 390 = 2·3·5·13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient
Three hundred ninety one CCCXCI 391 = 17·23, Smith number, centered pentagonal number
Three hundred ninety two CCCXCII 392 = 2^3·7^2, Harshad number
Three hundred ninety three CCCXCIII 393 = 3·131, Mertens function returns 0
Three hundred ninety four CCCXCIV 394 = 2·197, nontotient, noncototient
Three hundred ninety five CCCXCV 395 = 5·79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89)
Three hundred ninety six CCCXCVI 396 = 2^2·3^2·11, sum of a twin prime (197 + 199), Harshad number
Three hundred ninety seven CCCXCVII 397, prime number, cuban prime, centered hexagonal number
Three hundred ninety eight CCCXCVIII 398 = 2·199, nontotient
Three hundred ninety nine CCCXCIX 399 = 3·7·19, sphenic number, Harshad numberes:Número 300 ko:300