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314315309 = 71119239341
BaseRepresentation
bin10010101111000…
…001001000101101
3210220102212112202
4102233001020231
51120431042214
651104511245
710534431110
oct2257011055
9726385482
10314315309
11151471820
128931b525
13501708b9
142da5c577
151c8da6de
hex12bc122d

314315309 has 32 divisors (see below), whose sum is σ = 430479360. Its totient is φ = 221918400.

The previous prime is 314315303. The next prime is 314315321. The reversal of 314315309 is 903513413.

It is not a de Polignac number, because 314315309 - 212 = 314311213 is a prime.

It is a super-2 number, since 2×3143153092 = 197588226943530962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314315303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28979 + ... + 38319.

It is an arithmetic number, because the mean of its divisors is an integer number (13452480).

Almost surely, 2314315309 is an apocalyptic number.

It is an amenable number.

314315309 is a deficient number, since it is larger than the sum of its proper divisors (116164051).

314315309 is a wasteful number, since it uses less digits than its factorization.

314315309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 314315309 is about 17728.9398724233. The cubic root of 314315309 is about 679.9158697821.

The spelling of 314315309 in words is "three hundred fourteen million, three hundred fifteen thousand, three hundred nine".

Divisors: 1 7 11 19 23 77 133 161 209 253 437 1463 1771 3059 4807 9341 33649 65387 102751 177479 214843 719257 1242353 1503901 1952269 2363273 4082017 13665883 16542911 28574119 44902187 314315309