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342106604164 = 221317253429521
BaseRepresentation
bin1001111101001110010…
…01001000001010000100
31012201000222221010220001
410332213021020022010
521101113242313124
6421054523451044
733500502104263
oct4764711101204
91181028833801
10342106604164
111220a5294216
1256376986a84
1326350471cc0
14127b53d85da
158d740b4b44
hex4fa7248284

342106604164 has 72 divisors (see below), whose sum is σ = 697820340168. Its totient is φ = 145803141120.

The previous prime is 342106604093. The next prime is 342106604171. The reversal of 342106604164 is 461406601243.

It can be written as a sum of positive squares in 12 ways, for example, as 45735244164 + 296371360000 = 213858^2 + 544400^2 .

It is a super-2 number, since 2×3421066041642 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581724 + ... + 1011244.

It is an arithmetic number, because the mean of its divisors is an integer number (9691949169).

Almost surely, 2342106604164 is an apocalyptic number.

342106604164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342106604164 is an abundant number, since it is smaller than the sum of its proper divisors (355713736004).

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

342106604164 is a wasteful number, since it uses less digits than its factorization.

342106604164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429625 (or 429606 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 342106604164 in words is "three hundred forty-two billion, one hundred six million, six hundred four thousand, one hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 53 68 106 212 221 289 442 578 689 884 901 1156 1378 1802 2756 3604 3757 7514 11713 15028 15317 23426 30634 46852 61268 199121 398242 429521 796484 859042 1718084 5583773 7301857 11167546 14603714 22335092 22764613 29207428 45529226 91058452 94924141 124131569 189848282 248263138 295939969 379696564 386998421 496526276 591879938 773996842 1183759876 1547993684 1613710397 3227420794 5030979473 6454841588 6578973157 10061958946 13157946314 20123917892 26315892628 85526651041 171053302082 342106604164