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34490688 = 2631710567
BaseRepresentation
bin1000001110010…
…0100101000000
32101220022022220
42003210211000
532312200223
63231131040
7566110641
oct203444500
971808286
1034490688
1118518401
12b673a80
1371b7cbb
14481b6c8
1530646e3
hex20e4940

34490688 has 56 divisors (see below), whose sum is σ = 96633792. Its totient is φ = 10819584.

The previous prime is 34490653. The next prime is 34490707. The reversal of 34490688 is 88609443.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2020 + ... + 8547.

Almost surely, 234490688 is an apocalyptic number.

It is an amenable number.

34490688 is an abundant number, since it is smaller than the sum of its proper divisors (62143104).

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

34490688 is a wasteful number, since it uses less digits than its factorization.

34490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10589 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34490688 is about 5872.8773186574. The cubic root of 34490688 is about 325.5122116414.

The spelling of 34490688 in words is "thirty-four million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 10567 21134 31701 42268 63402 84536 126804 169072 179639 253608 338144 359278 507216 538917 676288 718556 1014432 1077834 1437112 2028864 2155668 2874224 4311336 5748448 8622672 11496896 17245344 34490688