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104356434 = 237131311459
BaseRepresentation
bin1100011100001…
…01101001010010
321021100212010010
412032011221102
5203203401214
614204415350
72405005110
oct616055122
9237325103
10104356434
11539a7596
122ab47556
131880a690
14dc06ab0
159265659
hex6385a52

104356434 has 64 divisors (see below), whose sum is σ = 259015680. Its totient is φ = 27293760.

The previous prime is 104356429. The next prime is 104356457. The reversal of 104356434 is 434653401.

104356434 = T420 + T421 + ... + T887.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70797 + ... + 72255.

It is an arithmetic number, because the mean of its divisors is an integer number (4047120).

Almost surely, 2104356434 is an apocalyptic number.

104356434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104356434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

104356434 is an abundant number, since it is smaller than the sum of its proper divisors (154659246).

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

104356434 is a wasteful number, since it uses less digits than its factorization.

104356434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 104356434 is about 10215.4996940923. The cubic root of 104356434 is about 470.8035657445.

The spelling of 104356434 in words is "one hundred four million, three hundred fifty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1459 1703 1834 2751 2918 3406 4377 5109 5502 8754 10213 10218 11921 18967 20426 23842 30639 35763 37934 56901 61278 71526 113802 132769 191129 265538 382258 398307 573387 796614 1146774 1337903 2484677 2675806 4013709 4969354 7454031 8027418 14908062 17392739 34785478 52178217 104356434