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314009792 = 267367211
BaseRepresentation
bin10010101101110…
…110100011000000
3210212212100110022
4102231312203000
51120341303132
651054153012
710532016305
oct2255664300
9725770408
10314009792
11151283228
12891b2768
1350094815
142d9bd0ac
151c879e12
hex12b768c0

314009792 has 28 divisors (see below), whose sum is σ = 631658376. Its totient is φ = 154851840.

The previous prime is 314009743. The next prime is 314009807. The reversal of 314009792 is 297900413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28934 + ... + 38277.

Almost surely, 2314009792 is an apocalyptic number.

314009792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314009792 is an abundant number, since it is smaller than the sum of its proper divisors (317648584).

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

314009792 is an equidigital number, since it uses as much as digits as its factorization.

314009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67296 (or 67286 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 314009792 is about 17720.3214417798. The cubic root of 314009792 is about 679.6955038089.

The spelling of 314009792 in words is "three hundred fourteen million, nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 67211 134422 268844 537688 1075376 2150752 4301504 4906403 9812806 19625612 39251224 78502448 157004896 314009792