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314014376 = 231331173563
BaseRepresentation
bin10010101101110…
…111101010101000
3210212212120202002
4102231313222220
51120341430001
651054230132
710532035544
oct2255675250
9725776662
10314014376
11151286715
12891b5348
1350096930
142d9c0a24
151c87b46b
hex12b77aa8

314014376 has 64 divisors (see below), whose sum is σ = 659473920. Its totient is φ = 139196160.

The previous prime is 314014357. The next prime is 314014399. The reversal of 314014376 is 673410413.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557471 + ... + 558033.

It is an arithmetic number, because the mean of its divisors is an integer number (10304280).

Almost surely, 2314014376 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 314014376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329736960).

314014376 is an abundant number, since it is smaller than the sum of its proper divisors (345459544).

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

314014376 is a wasteful number, since it uses less digits than its factorization.

314014376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 314014376 is about 17720.4507843339. The cubic root of 314014376 is about 679.6988112525.

Adding to 314014376 its reverse (673410413), we get a palindrome (987424789).

The spelling of 314014376 in words is "three hundred fourteen million, fourteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 173 248 346 403 563 692 806 1126 1384 1612 2249 2252 3224 4498 4504 5363 7319 8996 10726 14638 17453 17992 21452 29276 34906 42904 58552 69719 69812 97399 139438 139624 194798 226889 278876 389596 453778 557752 779192 907556 1266187 1815112 2532374 3019369 5064748 6038738 10129496 12077476 24154952 39251797 78503594 157007188 314014376