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314942472 = 233313591901
BaseRepresentation
bin10010110001011…
…010010000001000
3210221121201212000
4102301122100020
51121111124342
651130151000
710542652425
oct2261322010
9727551760
10314942472
1115185aa39
1289582460
13503301c0
142db82d4c
151c9b144c
hex12c5a408

314942472 has 128 divisors (see below), whose sum is σ = 958608000. Its totient is φ = 95212800.

The previous prime is 314942437. The next prime is 314942491. The reversal of 314942472 is 274249413.

314942472 is a `hidden beast` number, since 3 + 149 + 42 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164722 + ... + 166622.

It is an arithmetic number, because the mean of its divisors is an integer number (7489125).

Almost surely, 2314942472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314942472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479304000).

314942472 is an abundant number, since it is smaller than the sum of its proper divisors (643665528).

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

314942472 is a wasteful number, since it uses less digits than its factorization.

314942472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1978 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 314942472 is about 17746.6186074982. The cubic root of 314942472 is about 680.3677883528.

The spelling of 314942472 in words is "three hundred fourteen million, nine hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 104 108 117 118 156 177 216 234 236 312 351 354 468 472 531 702 708 767 936 1062 1404 1416 1534 1593 1901 2124 2301 2808 3068 3186 3802 4248 4602 5703 6136 6372 6903 7604 9204 11406 12744 13806 15208 17109 18408 20709 22812 24713 27612 34218 41418 45624 49426 51327 55224 68436 74139 82836 98852 102654 112159 136872 148278 165672 197704 205308 222417 224318 296556 336477 410616 444834 448636 593112 667251 672954 889668 897272 1009431 1334502 1345908 1458067 1779336 2018862 2669004 2691816 2916134 3028293 4037724 4374201 5338008 5832268 6056586 8075448 8748402 11664536 12113172 13122603 17496804 24226344 26245206 34993608 39367809 52490412 78735618 104980824 157471236 314942472