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345403688 = 237172912511
BaseRepresentation
bin10100100101100…
…111000100101000
3220001221022210012
4110211213010220
51201410404223
654135111052
711362611560
oct2445470450
9801838705
10345403688
11167a759a3
1297812488
13567370a6
1433c31da0
15204cbc78
hex14967128

345403688 has 64 divisors (see below), whose sum is σ = 810777600. Its totient is φ = 134507520.

The previous prime is 345403657. The next prime is 345403691. The reversal of 345403688 is 886304543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21353 + ... + 33863.

It is an arithmetic number, because the mean of its divisors is an integer number (12668400).

Almost surely, 2345403688 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 345403688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405388800).

345403688 is an abundant number, since it is smaller than the sum of its proper divisors (465373912).

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

345403688 is a wasteful number, since it uses less digits than its factorization.

345403688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 345403688 is about 18585.0393596570. The cubic root of 345403688 is about 701.6313570572.

The spelling of 345403688 in words is "three hundred forty-five million, four hundred three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 812 952 986 1624 1972 3451 3944 6902 12511 13804 25022 27608 50044 87577 100088 175154 212687 350308 362819 425374 700616 725638 850748 1451276 1488809 1701496 2539733 2902552 2977618 5079466 5955236 6167923 10158932 11910472 12335846 20317864 24671692 43175461 49343384 86350922 172701844 345403688