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314719812 = 223211312827
BaseRepresentation
bin10010110000100…
…011111001000100
3210221012102102100
4102300203321010
51121032013222
651121312100
710541034321
oct2260437104
9727172370
10314719812
11151718720
1289495630
1350282a54
142db25b48
151c96a4ac
hex12c23e44

314719812 has 108 divisors (see below), whose sum is σ = 897846768. Its totient is φ = 92181600.

The previous prime is 314719789. The next prime is 314719831. The reversal of 314719812 is 218917413.

It is a happy number.

314719812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380143 + ... + 380969.

It is an arithmetic number, because the mean of its divisors is an integer number (8313396).

Almost surely, 2314719812 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 314719812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448923384).

314719812 is an abundant number, since it is smaller than the sum of its proper divisors (583126956).

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

314719812 is a wasteful number, since it uses less digits than its factorization.

314719812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 874 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 314719812 is about 17740.3441905731. The cubic root of 314719812 is about 680.2074136602.

The spelling of 314719812 in words is "three hundred fourteen million, seven hundred nineteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 827 961 1023 1116 1364 1654 1922 2046 2481 2883 3069 3308 3844 4092 4962 5766 6138 7443 8649 9097 9924 10571 11532 12276 14886 17298 18194 21142 25637 27291 29772 31713 34596 36388 42284 51274 54582 63426 76911 81873 95139 102548 109164 126852 153822 163746 190278 230733 282007 307644 327492 380556 461466 564014 794747 846021 922932 1128028 1589494 1692042 2384241 2538063 3178988 3384084 4768482 5076126 7152723 8742217 9536964 10152252 14305446 17484434 26226651 28610892 34968868 52453302 78679953 104906604 157359906 314719812