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34415313604 = 22717371919441
BaseRepresentation
bin100000000011010100…
…000000001011000100
310021211110111001222121
4200003110000023010
51030440310013404
623450555335324
72325562224160
oct400324001304
9107743431877
1034415313604
1113660602541
126805751544
13332605a3b9
1419469cbca0
15d66589e54
hex8035002c4

34415313604 has 48 divisors (see below), whose sum is σ = 72902833920. Its totient is φ = 13877360640.

The previous prime is 34415313601. The next prime is 34415313619. The reversal of 34415313604 is 40631351443.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34415313604.

It is not an unprimeable number, because it can be changed into a prime (34415313601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1760524 + ... + 1779964.

It is an arithmetic number, because the mean of its divisors is an integer number (1518809040).

Almost surely, 234415313604 is an apocalyptic number.

34415313604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34415313604 is an abundant number, since it is smaller than the sum of its proper divisors (38487520316).

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

34415313604 is a wasteful number, since it uses less digits than its factorization.

34415313604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23188 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 34415313604 in words is "thirty-four billion, four hundred fifteen million, three hundred thirteen thousand, six hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 3719 7438 14876 19441 26033 38882 52066 63223 77764 104132 126446 136087 252892 272174 330497 442561 544348 660994 885122 1321988 1770244 2313479 4626958 9253916 72301079 144602158 289204316 506107553 1012215106 1229118343 2024430212 2458236686 4916473372 8603828401 17207656802 34415313604