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34107696 = 2433711279
BaseRepresentation
bin1000001000011…
…1000100110000
32101011211222000
42002013010300
532212421241
63215014000
7562624230
oct202070460
971154860
1034107696
1118286687
12b50a300
1370b288c
14475bcc0
152edaeb6
hex2087130

34107696 has 80 divisors (see below), whose sum is σ = 111897600. Its totient is φ = 9744192.

The previous prime is 34107691. The next prime is 34107701. The reversal of 34107696 is 69670143.

It is an interprime number because it is at equal distance from previous prime (34107691) and next prime (34107701).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34107696.

It is not an unprimeable number, because it can be changed into a prime (34107691) 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, 2616 + ... + 8663.

It is an arithmetic number, because the mean of its divisors is an integer number (1398720).

Almost surely, 234107696 is an apocalyptic number.

34107696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34107696 is an abundant number, since it is smaller than the sum of its proper divisors (77789904).

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

34107696 is a wasteful number, since it uses less digits than its factorization.

34107696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34107696 is about 5840.1794492978. The cubic root of 34107696 is about 324.3028717973.

The spelling of 34107696 in words is "thirty-four million, one hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 11279 22558 33837 45116 67674 78953 90232 101511 135348 157906 180464 203022 236859 270696 304533 315812 406044 473718 541392 609066 631624 710577 812088 947436 1218132 1263248 1421154 1624176 1894872 2131731 2436264 2842308 3789744 4263462 4872528 5684616 8526924 11369232 17053848 34107696