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314584056 = 23326536691
BaseRepresentation
bin10010110000000…
…010101111111000
3210220221112012100
4102300002233320
51121013142211
651114343400
710536630453
oct2260025770
9726845170
10314584056
11151635726
128942ab60
1350236017
142dacc49a
151c940156
hex12c02bf8

314584056 has 48 divisors (see below), whose sum is σ = 853430760. Its totient is φ = 104685120.

The previous prime is 314584051. The next prime is 314584057. The reversal of 314584056 is 650485413.

It is a happy number.

It is a super-2 number, since 2×3145840562 = 197926256578822272, which contains 22 as substring.

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 314584056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314584051) 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 11 ways as a sum of consecutive naturals, for example, 43671 + ... + 50361.

Almost surely, 2314584056 is an apocalyptic number.

314584056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314584056 is an abundant number, since it is smaller than the sum of its proper divisors (538846704).

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

314584056 is a wasteful number, since it uses less digits than its factorization.

314584056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 314584056 is about 17736.5175837874. The cubic root of 314584056 is about 680.1095959456.

The spelling of 314584056 in words is "three hundred fourteen million, five hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 653 1306 1959 2612 3918 5224 5877 6691 7836 11754 13382 15672 20073 23508 26764 40146 47016 53528 60219 80292 120438 160584 240876 481752 4369223 8738446 13107669 17476892 26215338 34953784 39323007 52430676 78646014 104861352 157292028 314584056