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314074112 = 2101127883
BaseRepresentation
bin10010101110000…
…110010000000000
3210212222121200112
4102232012100000
51120400332422
651055410452
710532404652
oct2256062000
9725877615
10314074112
11151317590
1289223a28
13500b7b91
142d9d86d2
151c88dee2
hex12b86400

314074112 has 44 divisors (see below), whose sum is σ = 684942576. Its totient is φ = 142755840.

The previous prime is 314074067. The next prime is 314074129. The reversal of 314074112 is 211470413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2678 + ... + 25205.

Almost surely, 2314074112 is an apocalyptic number.

314074112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314074112 is an abundant number, since it is smaller than the sum of its proper divisors (370868464).

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

314074112 is a wasteful number, since it uses less digits than its factorization.

314074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27914 (or 27896 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 314074112 is about 17722.1362143507. The cubic root of 314074112 is about 679.7419089755.

The spelling of 314074112 in words is "three hundred fourteen million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 27883 55766 111532 223064 306713 446128 613426 892256 1226852 1784512 2453704 3569024 4907408 7138048 9814816 14276096 19629632 28552192 39259264 78518528 157037056 314074112