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314714664 = 2332111572531
BaseRepresentation
bin10010110000100…
…010101000101000
3210221012011100200
4102300202220220
51121031332124
651121232200
710541013315
oct2260425050
9727164320
10314714664
11151714870
1289492660
13502805c4
142db23d0c
151c968bc9
hex12c22a28

314714664 has 96 divisors (see below), whose sum is σ = 936131040. Its totient is φ = 94723200.

The previous prime is 314714663. The next prime is 314714683. The reversal of 314714664 is 466417413.

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

It is not an unprimeable number, because it can be changed into a prime (314714663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123079 + ... + 125609.

It is an arithmetic number, because the mean of its divisors is an integer number (9751365).

Almost surely, 2314714664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314714664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468065520).

314714664 is an abundant number, since it is smaller than the sum of its proper divisors (621416376).

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

314714664 is a wasteful number, since it uses less digits than its factorization.

314714664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2704 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 314714664 is about 17740.1990969662. The cubic root of 314714664 is about 680.2037048302.

The spelling of 314714664 in words is "three hundred fourteen million, seven hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 792 942 1256 1413 1727 1884 2531 2826 3454 3768 5062 5181 5652 6908 7593 10124 10362 11304 13816 15186 15543 20248 20724 22779 27841 30372 31086 41448 45558 55682 60744 62172 83523 91116 111364 124344 167046 182232 222728 250569 334092 397367 501138 668184 794734 1002276 1192101 1589468 2004552 2384202 3178936 3576303 4371037 4768404 7152606 8742074 9536808 13113111 14305212 17484148 26226222 28610424 34968296 39339333 52452444 78678666 104904888 157357332 314714664