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34350336320 = 265107344801
BaseRepresentation
bin11111111111011100…
…001000100101000000
310021122221012212220112
4133333130020211000
51030322141230240
623440314530452
72324143020056
oct377734104500
9107587185815
1034350336320
1113627962103
1267a7a36a28
133315759ac1
14193c1161d6
15d60a02665
hex7ff708940

34350336320 has 28 divisors (see below), whose sum is σ = 81796739124. Its totient is φ = 13740134400.

The previous prime is 34350336313. The next prime is 34350336331. The reversal of 34350336320 is 2363305343.

It can be written as a sum of positive squares in 2 ways, for example, as 13535926336 + 20814409984 = 116344^2 + 144272^2 .

It is a super-2 number, since 2×343503363202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53672081 + ... + 53672720.

Almost surely, 234350336320 is an apocalyptic number.

It is an amenable number.

34350336320 is an abundant number, since it is smaller than the sum of its proper divisors (47446402804).

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

34350336320 is a wasteful number, since it uses less digits than its factorization.

34350336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107344818 (or 107344808 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 32.

The spelling of 34350336320 in words is "thirty-four billion, three hundred fifty million, three hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 107344801 214689602 429379204 536724005 858758408 1073448010 1717516816 2146896020 3435033632 4293792040 6870067264 8587584080 17175168160 34350336320