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314073872 = 2476145971
BaseRepresentation
bin10010101110000…
…110001100010000
3210212222121100122
4102232012030100
51120400330442
651055405412
710532404160
oct2256061420
9725877318
10314073872
11151317392
1289223868
13500b7a38
142d9d85a0
151c88ddd2
hex12b86310

314073872 has 40 divisors (see below), whose sum is σ = 706865472. Its totient is φ = 132393600.

The previous prime is 314073863. The next prime is 314073911. The reversal of 314073872 is 278370413.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16154 + ... + 29817.

Almost surely, 2314073872 is an apocalyptic number.

It is an amenable number.

314073872 is an abundant number, since it is smaller than the sum of its proper divisors (392791600).

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

314073872 is a wasteful number, since it uses less digits than its factorization.

314073872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46047 (or 46041 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 314073872 is about 17722.1294431567. The cubic root of 314073872 is about 679.7417358337.

The spelling of 314073872 in words is "three hundred fourteen million, seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6832 45971 91942 183884 321797 367768 643594 735536 1287188 2574376 2804231 5148752 5608462 11216924 19629617 22433848 39259234 44867696 78518468 157036936 314073872