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345251016 = 233211435923
BaseRepresentation
bin10100100101000…
…001110011001000
3220001122120100200
4110211001303020
51201341013031
654131532200
711361404505
oct2445016310
9801576320
10345251016
11167981220
129775a060
13566b2756
1433bd24ac
152049b8e6
hex14941cc8

345251016 has 48 divisors (see below), whose sum is σ = 1020062160. Its totient is φ = 104621280.

The previous prime is 345250993. The next prime is 345251051. The reversal of 345251016 is 610152543.

345251016 is a `hidden beast` number, since 34 + 525 + 101 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 217170 + ... + 218753.

It is an arithmetic number, because the mean of its divisors is an integer number (21251295).

Almost surely, 2345251016 is an apocalyptic number.

345251016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345251016 is an abundant number, since it is smaller than the sum of its proper divisors (674811144).

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

345251016 is a wasteful number, since it uses less digits than its factorization.

345251016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435946 (or 435939 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 345251016 is about 18580.9315159386. The cubic root of 345251016 is about 701.5279657186.

The spelling of 345251016 in words is "three hundred forty-five million, two hundred fifty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 435923 871846 1307769 1743692 2615538 3487384 3923307 4795153 5231076 7846614 9590306 10462152 14385459 15693228 19180612 28770918 31386456 38361224 43156377 57541836 86312754 115083672 172625508 345251016