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342892867322304 = 263613975828219
BaseRepresentation
bin100110111110110111111011…
…1100011011000000111000000
31122222002020102111002222000000
41031331233313203120013000
5324420424043013303204
63213134450355000000
7132140122622210535
oct11575576743300700
91588066374088000
10342892867322304
119a29005944a912
123255ab27599000
13119438740715a0
146096163770d8c
15299966c7ae039
hex137dbf78d81c0

342892867322304 has 392 divisors, whose sum is σ = 1109976875688240. Its totient is φ = 104417794179072.

The previous prime is 342892867322263. The next prime is 342892867322309. The reversal of 342892867322304 is 403223768298243.

342892867322304 is a `hidden beast` number, since 3 + 4 + 28 + 9 + 286 + 7 + 3 + 22 + 304 = 666.

It is a super-2 number, since 2×3428928673223042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342892867322309) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55919107 + ... + 61747325.

It is an arithmetic number, because the mean of its divisors is an integer number (2831573662470).

Almost surely, 2342892867322304 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 342892867322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554988437844120).

342892867322304 is an abundant number, since it is smaller than the sum of its proper divisors (767084008365936).

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

342892867322304 is an equidigital number, since it uses as much as digits as its factorization.

342892867322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828359 (or 5828334 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 342892867322304 in words is "three hundred forty-two trillion, eight hundred ninety-two billion, eight hundred sixty-seven million, three hundred twenty-two thousand, three hundred four".