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34360721406 = 23211331524287
BaseRepresentation
bin100000000000000011…
…101111111111111110
310021200122202111120100
4200000003233333332
51030332321041111
623441325301530
72324330212224
oct400003577776
9107618674510
1034360721406
1113632805620
1267ab4048a6
133317954a1b
14193d65ab14
15d618a4756
hex8000efffe

34360721406 has 48 divisors (see below), whose sum is σ = 81461772288. Its totient is φ = 10380862800.

The previous prime is 34360721393. The next prime is 34360721443. The reversal of 34360721406 is 60412706343.

It is a happy number.

34360721406 is a `hidden beast` number, since 3 + 4 + 3 + 607 + 2 + 1 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196606 + ... + 327681.

It is an arithmetic number, because the mean of its divisors is an integer number (1697120256).

Almost surely, 234360721406 is an apocalyptic number.

34360721406 is an abundant number, since it is smaller than the sum of its proper divisors (47101050882).

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

34360721406 is a wasteful number, since it uses less digits than its factorization.

34360721406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524637 (or 524634 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34360721406 in words is "thirty-four billion, three hundred sixty million, seven hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 993 1986 2979 3641 5958 7282 10923 21846 32769 65538 524287 1048574 1572861 3145722 4718583 5767157 9437166 11534314 17301471 34602942 51904413 103808826 173538997 347077994 520616991 1041233982 1561850973 1908928967 3123701946 3817857934 5726786901 11453573802 17180360703 34360721406