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3442105325304 = 2332261718267871
BaseRepresentation
bin110010000101101101011…
…101110001011011111000
3110012001200020102210022200
4302011231131301123320
5422343412430402204
611153140434550200
7503453402342412
oct62055535613370
913161606383280
103442105325304
1111078747a2188
1247712a138360
131bc7874544c9
14bc8550db9b2
155e80c88e539
hex3216d7716f8

3442105325304 has 48 divisors (see below), whose sum is σ = 9325931334720. Its totient is φ = 1146929950080.

The previous prime is 3442105325231. The next prime is 3442105325311. The reversal of 3442105325304 is 4035235012443.

3442105325304 is a `hidden beast` number, since 3 + 4 + 4 + 21 + 0 + 5 + 325 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8945512 + ... + 9322359.

It is an arithmetic number, because the mean of its divisors is an integer number (194290236140).

Almost surely, 23442105325304 is an apocalyptic number.

It is an amenable number.

3442105325304 is an abundant number, since it is smaller than the sum of its proper divisors (5883826009416).

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

3442105325304 is a wasteful number, since it uses less digits than its factorization.

3442105325304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270500 (or 18270493 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 3442105325304 in words is "three trillion, four hundred forty-two billion, one hundred five million, three hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2617 5234 7851 10468 15702 20936 23553 31404 47106 62808 94212 188424 18267871 36535742 54803613 73071484 109607226 146142968 164410839 219214452 328821678 438428904 657643356 1315286712 47807018407 95614036814 143421055221 191228073628 286842110442 382456147256 430263165663 573684220884 860526331326 1147368441768 1721052662652 3442105325304