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34286832132 = 2237259988321
BaseRepresentation
bin11111111011101001…
…111000101000000100
310021111111201112112120
4133323221320220010
51030204412112012
623430125445540
72322442156500
oct377351705004
9107444645476
1034286832132
11135a5028503
12678a7108b0
133305553b67
141933905300
15d5a15b58c
hex7fba78a04

34286832132 has 72 divisors (see below), whose sum is σ = 94641714720. Its totient is φ = 9630190080.

The previous prime is 34286832091. The next prime is 34286832179. The reversal of 34286832132 is 23123868243.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 459469 + ... + 528852.

It is an arithmetic number, because the mean of its divisors is an integer number (1314468260).

Almost surely, 234286832132 is an apocalyptic number.

It is an amenable number.

34286832132 is an abundant number, since it is smaller than the sum of its proper divisors (60354882588).

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

34286832132 is a wasteful number, since it uses less digits than its factorization.

34286832132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988401 (or 988392 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 34286832132 in words is "thirty-four billion, two hundred eighty-six million, eight hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 988321 1976642 2964963 3953284 5929926 6918247 11859852 13836494 20754741 27672988 41509482 48427729 58310939 83018964 96855458 116621878 145283187 174932817 193710916 233243756 290566374 349865634 408176573 581132748 699731268 816353146 1224529719 1632706292 2449059438 2857236011 4898118876 5714472022 8571708033 11428944044 17143416066 34286832132