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34731604936 = 2372829106877
BaseRepresentation
bin100000010110001010…
…100011101111001000
310022122111122100010101
4200112022203233020
51032112242324221
623542214455144
72336452525300
oct402612435710
9108574570111
1034731604936
11138030a3936
1268936644b4
133376740532
141976a02600
15d84215d91
hex8162a3bc8

34731604936 has 48 divisors (see below), whose sum is σ = 75845972700. Its totient is φ = 14866879104.

The previous prime is 34731604909. The next prime is 34731604961. The reversal of 34731604936 is 63940613743.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33970176100 + 761428836 = 184310^2 + 27594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271530 + ... + 378406.

Almost surely, 234731604936 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 34731604936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37922986350).

34731604936 is an abundant number, since it is smaller than the sum of its proper divisors (41114367764).

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

34731604936 is a wasteful number, since it uses less digits than its factorization.

34731604936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107726 (or 107715 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 34731604936 in words is "thirty-four billion, seven hundred thirty-one million, six hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 829 1658 3316 5803 6632 11606 23212 40621 46424 81242 106877 162484 213754 324968 427508 748139 855016 1496278 2992556 5236973 5985112 10473946 20947892 41895784 88601033 177202066 354404132 620207231 708808264 1240414462 2480828924 4341450617 4961657848 8682901234 17365802468 34731604936