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314312976 = 243210332113
BaseRepresentation
bin10010101111000…
…000100100010000
3210220102202100100
4102233000210100
51120431003401
651104452400
710534421235
oct2257004420
9726382310
10314312976
1115146aa9a
128931a100
135016c813
142da5b78c
151c8d9b86
hex12bc0910

314312976 has 60 divisors (see below), whose sum is σ = 880908028. Its totient is φ = 104620032.

The previous prime is 314312969. The next prime is 314312981. The reversal of 314312976 is 679213413.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 181602576 = 11520^2 + 13476^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 314312976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147696 + ... + 149808.

Almost surely, 2314312976 is an apocalyptic number.

314312976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314312976 is an abundant number, since it is smaller than the sum of its proper divisors (566595052).

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

314312976 is a wasteful number, since it uses less digits than its factorization.

314312976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3151 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 314312976 is about 17728.8740759248. The cubic root of 314312976 is about 679.9141875566.

The spelling of 314312976 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1033 2066 2113 3099 4132 4226 6198 6339 8264 8452 9297 12396 12678 16528 16904 18594 19017 24792 25356 33808 37188 38034 49584 50712 74376 76068 101424 148752 152136 304272 2182729 4365458 6548187 8730916 13096374 17461832 19644561 26192748 34923664 39289122 52385496 78578244 104770992 157156488 314312976