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314856966 = 231714920717
BaseRepresentation
bin10010110001000…
…101011000000110
3210221110101120010
4102301011120012
51121100410331
651124251050
710542145224
oct2261053006
9727411503
10314856966
11151801776
1289540a86
13503002c8
142db5db14
151c995e46
hex12c45606

314856966 has 32 divisors (see below), whose sum is σ = 671263200. Its totient is φ = 98110976.

The previous prime is 314856953. The next prime is 314856967. The reversal of 314856966 is 669658413.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314856967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 25556.

It is an arithmetic number, because the mean of its divisors is an integer number (20976975).

Almost surely, 2314856966 is an apocalyptic number.

314856966 is an abundant number, since it is smaller than the sum of its proper divisors (356406234).

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

314856966 is a wasteful number, since it uses less digits than its factorization.

314856966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20888.

The product of its digits is 933120, while the sum is 48.

The square root of 314856966 is about 17744.2093653113. The cubic root of 314856966 is about 680.3062101293.

The spelling of 314856966 in words is "three hundred fourteen million, eight hundred fifty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 17 34 51 102 149 298 447 894 2533 5066 7599 15198 20717 41434 62151 124302 352189 704378 1056567 2113134 3086833 6173666 9260499 18520998 52476161 104952322 157428483 314856966