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314305664 = 272455513
BaseRepresentation
bin10010101110111…
…110110010000000
3210220102101022112
4102232332302000
51120430240124
651104354452
710534361021
oct2256766200
9726371275
10314305664
11151465552
1289315a28
13501693aa
142da58c48
151c8d790e
hex12bbec80

314305664 has 16 divisors (see below), whose sum is σ = 626156070. Its totient is φ = 157152768.

The previous prime is 314305613. The next prime is 314305669. The reversal of 314305664 is 466503413.

It can be written as a sum of positive squares in only one way, i.e., 179560000 + 134745664 = 13400^2 + 11608^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 314305664.

It is not an unprimeable number, because it can be changed into a prime (314305669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1227629 + ... + 1227884.

Almost surely, 2314305664 is an apocalyptic number.

It is an amenable number.

314305664 is a deficient number, since it is larger than the sum of its proper divisors (311850406).

314305664 is an equidigital number, since it uses as much as digits as its factorization.

314305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455527 (or 2455515 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 314305664 is about 17728.6678574562. The cubic root of 314305664 is about 679.9089151355.

The spelling of 314305664 in words is "three hundred fourteen million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 2455513 4911026 9822052 19644104 39288208 78576416 157152832 314305664