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345902016 = 26310317491
BaseRepresentation
bin10100100111100…
…000101111000000
3220002212122100210
4110213200233000
51202022331031
654153514120
711400055455
oct2447405700
9802778323
10345902016
11168286339
1297a12940
135687cb65
1433d2182c
1520579746
hex149e0bc0

345902016 has 56 divisors (see below), whose sum is σ = 924137344. Its totient is φ = 114174720.

The previous prime is 345901987. The next prime is 345902023. The reversal of 345902016 is 610209543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11031 + ... + 28521.

Almost surely, 2345902016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462068672).

345902016 is an abundant number, since it is smaller than the sum of its proper divisors (578235328).

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

345902016 is a wasteful number, since it uses less digits than its factorization.

345902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17609 (or 17599 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 345902016 is about 18598.4412250059. The cubic root of 345902016 is about 701.9686189818.

The spelling of 345902016 in words is "three hundred forty-five million, nine hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 17491 19776 34982 52473 69964 104946 139928 209892 279856 419784 559712 839568 1119424 1679136 1801573 3358272 3603146 5404719 7206292 10809438 14412584 21618876 28825168 43237752 57650336 86475504 115300672 172951008 345902016