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314461312 = 2711223339
BaseRepresentation
bin10010101111100…
…100110010000000
3210220201021211021
4102233210302000
51121000230222
651111555224
710535606554
oct2257446200
9726637737
10314461312
11151561490
128938bb14
13501c21a9
142da99864
151c918ac7
hex12be4c80

314461312 has 32 divisors (see below), whose sum is σ = 683420400. Its totient is φ = 142936320.

The previous prime is 314461307. The next prime is 314461331. The reversal of 314461312 is 213164413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3144613122 = 197771833489522688, which contains 22 as substring.

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, 110262 + ... + 113077.

Almost surely, 2314461312 is an apocalyptic number.

314461312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314461312 is an abundant number, since it is smaller than the sum of its proper divisors (368959088).

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

314461312 is a wasteful number, since it uses less digits than its factorization.

314461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223364 (or 223352 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 314461312 is about 17733.0570404541. The cubic root of 314461312 is about 680.0211296779.

The spelling of 314461312 in words is "three hundred fourteen million, four hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 223339 446678 893356 1786712 2456729 3573424 4913458 7146848 9826916 14293696 19653832 28587392 39307664 78615328 157230656 314461312