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314931680 = 2557281189
BaseRepresentation
bin10010110001010…
…111100111100000
3210221121012001022
4102301113213200
51121110303210
651130025012
710542606110
oct2261274740
9727535038
10314931680
11151852918
1289578168
135032830b
142db7d040
151c9ad155
hex12c579e0

314931680 has 48 divisors (see below), whose sum is σ = 850318560. Its totient is φ = 107976192.

The previous prime is 314931653. The next prime is 314931703. The reversal of 314931680 is 86139413.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 314931680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139475 + ... + 141714.

It is an arithmetic number, because the mean of its divisors is an integer number (17714970).

Almost surely, 2314931680 is an apocalyptic number.

It is an amenable number.

314931680 is an abundant number, since it is smaller than the sum of its proper divisors (535386880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314931680 is a wasteful number, since it uses less digits than its factorization.

314931680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281211 (or 281203 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 314931680 is about 17746.3145469700. The cubic root of 314931680 is about 680.3600169726.

The spelling of 314931680 in words is "three hundred fourteen million, nine hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 281189 562378 1124756 1405945 1968323 2249512 2811890 3936646 4499024 5623780 7873292 8998048 9841615 11247560 15746584 19683230 22495120 31493168 39366460 44990240 62986336 78732920 157465840 314931680