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314354925 = 34522953101
BaseRepresentation
bin10010101111001…
…010110011101101
3210220111212220000
4102233022303231
51120433324200
651105414513
710534654443
oct2257126355
9726455800
10314354925
11151499565
128933a439
1350185941
142da6cb93
151c8e7300
hex12bcaced

314354925 has 120 divisors (see below), whose sum is σ = 619815240. Its totient is φ = 157248000.

The previous prime is 314354921. The next prime is 314354933. The reversal of 314354925 is 529453413.

It can be written as a sum of positive squares in 12 ways, for example, as 4137156 + 310217769 = 2034^2 + 17613^2 .

It is not a de Polignac number, because 314354925 - 22 = 314354921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314354925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314354921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3112375 + ... + 3112475.

It is an arithmetic number, because the mean of its divisors is an integer number (5165127).

Almost surely, 2314354925 is an apocalyptic number.

It is an amenable number.

314354925 is a deficient number, since it is larger than the sum of its proper divisors (305460315).

314354925 is a wasteful number, since it uses less digits than its factorization.

314354925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 314354925 is about 17730.0571065070. The cubic root of 314354925 is about 679.9444338967.

The spelling of 314354925 in words is "three hundred fourteen million, three hundred fifty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 53 75 81 87 101 135 145 159 225 261 265 303 405 435 477 505 675 725 783 795 909 1305 1325 1431 1515 1537 2025 2175 2349 2385 2525 2727 2929 3915 3975 4293 4545 4611 5353 6525 7155 7575 7685 8181 8787 11745 11925 13635 13833 14645 16059 19575 21465 22725 23055 26361 26765 35775 38425 40905 41499 43935 48177 58725 68175 69165 73225 79083 80295 107325 115275 124497 131805 133825 144531 155237 204525 207495 219675 237249 240885 345825 395415 401475 433593 465711 622485 659025 722655 776185 1037475 1186245 1204425 1397133 1977075 2167965 2328555 3112425 3613275 3880925 4191399 5931225 6985665 10839825 11642775 12574197 20956995 34928325 62870985 104784975 314354925