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3429699168 = 253715673257
BaseRepresentation
bin1100110001101101…
…0000111001100000
322212000120202210010
43030123100321200
524011000333133
61324154204520
7150663650640
oct31433207140
98760522703
103429699168
1114aaa80825
127b8723740
13428723bbc
142476dc520
15151172263
hexcc6d0e60

3429699168 has 96 divisors (see below), whose sum is σ = 10298824704. Its totient is φ = 978988032.

The previous prime is 3429699157. The next prime is 3429699173. The reversal of 3429699168 is 8619969243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051396 + ... + 1054652.

It is an arithmetic number, because the mean of its divisors is an integer number (107279424).

Almost surely, 23429699168 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 3429699168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149412352).

3429699168 is an abundant number, since it is smaller than the sum of its proper divisors (6869125536).

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

3429699168 is a wasteful number, since it uses less digits than its factorization.

3429699168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4836 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The square root of 3429699168 is about 58563.6334938330. The cubic root of 3429699168 is about 1508.0601917403.

The spelling of 3429699168 in words is "three billion, four hundred twenty-nine million, six hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1567 3134 3257 4701 6268 6514 9402 9771 10969 12536 13028 18804 19542 21938 22799 25072 26056 32907 37608 39084 43876 45598 50144 52112 65814 68397 75216 78168 87752 91196 104224 131628 136794 150432 156336 175504 182392 263256 273588 312672 351008 364784 526512 547176 729568 1053024 1094352 2188704 5103719 10207438 15311157 20414876 30622314 35726033 40829752 61244628 71452066 81659504 107178099 122489256 142904132 163319008 214356198 244978512 285808264 428712396 489957024 571616528 857424792 1143233056 1714849584 3429699168