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34634460364 = 2274723131789
BaseRepresentation
bin100000010000010111…
…111110110011001100
310022101201211212211021
4200100113332303030
51031412410212424
623524424403524
72334163025050
oct402027766314
9108351755737
1034634460364
1113763282769
1268670165a4
13335c58963a
141967b55c60
15d7a9274e4
hex8105feccc

34634460364 has 72 divisors (see below), whose sum is σ = 71039887520. Its totient is φ = 14473016064.

The previous prime is 34634460359. The next prime is 34634460433. The reversal of 34634460364 is 46306443643.

It is a self number, because there is not a number n which added to its sum of digits gives 34634460364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19358782 + ... + 19360570.

Almost surely, 234634460364 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 34634460364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519943760).

34634460364 is an abundant number, since it is smaller than the sum of its proper divisors (36405427156).

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

34634460364 is a wasteful number, since it uses less digits than its factorization.

34634460364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 43.

The spelling of 34634460364 in words is "thirty-four billion, six hundred thirty-four million, four hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 188 313 329 626 658 1252 1316 1789 2191 2209 3578 4382 4418 7156 8764 8836 12523 14711 15463 25046 29422 30926 50092 58844 61852 84083 102977 168166 205954 336332 411908 559957 588581 691417 1119914 1177162 1382834 2239828 2354324 2765668 3919699 3951901 4839919 7839398 7903802 9679838 15678796 15807604 19359676 26317979 27663307 52635958 55326614 105271916 110653228 184225853 368451706 736903412 1236945013 2473890026 4947780052 8658615091 17317230182 34634460364