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314216682 = 231329314481
BaseRepresentation
bin10010101110101…
…001000011101010
3210220020212020220
4102232221003222
51120414413212
651102430510
710533540423
oct2256510352
9726225226
10314216682
1115140470a
1289292436
1350137a40
142da3464a
151c8bb38c
hex12ba90ea

314216682 has 64 divisors (see below), whose sum is σ = 722856960. Its totient is φ = 90316800.

The previous prime is 314216657. The next prime is 314216717. The reversal of 314216682 is 286612413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67882 + ... + 72362.

It is an arithmetic number, because the mean of its divisors is an integer number (11294640).

Almost surely, 2314216682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314216682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361428480).

314216682 is an abundant number, since it is smaller than the sum of its proper divisors (408640278).

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

314216682 is a wasteful number, since it uses less digits than its factorization.

314216682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559.

The product of its digits is 13824, while the sum is 33.

The square root of 314216682 is about 17726.1581285963. The cubic root of 314216682 is about 679.8447468516.

The spelling of 314216682 in words is "three hundred fourteen million, two hundred sixteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 377 403 754 806 899 1131 1209 1798 2262 2418 2697 4481 5394 8962 11687 13443 23374 26886 35061 58253 70122 116506 129949 138911 174759 259898 277822 349518 389847 416733 779694 833466 1689337 1805843 3378674 3611686 4028419 5068011 5417529 8056838 10136022 10835058 12085257 24170514 52369447 104738894 157108341 314216682