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314152064 = 2712291997
BaseRepresentation
bin10010101110011…
…001010010000000
3210220010120121122
4102232121102000
51120410331224
651101211412
710533151142
oct2256312200
9726116548
10314152064
11151370106
1289260b68
13501144c5
142da18c92
151c8a715e
hex12b99480

314152064 has 32 divisors (see below), whose sum is σ = 626672700. Its totient is φ = 156869632.

The previous prime is 314152063. The next prime is 314152073. The reversal of 314152064 is 460251413.

It can be written as a sum of positive squares in 2 ways, for example, as 313998400 + 153664 = 17720^2 + 392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (314152063) 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, 156314 + ... + 158310.

Almost surely, 2314152064 is an apocalyptic number.

It is an amenable number.

314152064 is a deficient number, since it is larger than the sum of its proper divisors (312520636).

314152064 is a wasteful number, since it uses less digits than its factorization.

314152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 314152064 is about 17724.3353613048. The cubic root of 314152064 is about 679.7981407757.

The spelling of 314152064 in words is "three hundred fourteen million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 1229 1997 2458 3994 4916 7988 9832 15976 19664 31952 39328 63904 78656 127808 157312 255616 2454313 4908626 9817252 19634504 39269008 78538016 157076032 314152064