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314147712 = 273818093
BaseRepresentation
bin10010101110011…
…000001110000000
3210220010100122110
4102232120032000
51120410211322
651101135320
710533132354
oct2256301600
9726110573
10314147712
1115136790a
128925a540
1350112528
142da17464
151c8a5c0c
hex12b98380

314147712 has 32 divisors (see below), whose sum is σ = 834455880. Its totient is φ = 104715776.

The previous prime is 314147677. The next prime is 314147719. The reversal of 314147712 is 217741413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 314147712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314147719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408663 + ... + 409430.

Almost surely, 2314147712 is an apocalyptic number.

314147712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314147712 is an abundant number, since it is smaller than the sum of its proper divisors (520308168).

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

314147712 is an equidigital number, since it uses as much as digits as its factorization.

314147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818110 (or 818098 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 314147712 is about 17724.2125918191. The cubic root of 314147712 is about 679.7950016429.

The spelling of 314147712 in words is "three hundred fourteen million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 818093 1636186 2454279 3272372 4908558 6544744 9817116 13089488 19634232 26178976 39268464 52357952 78536928 104715904 157073856 314147712