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34989696 = 273274339
BaseRepresentation
bin1000010101111…
…0011010000000
32102211122211200
42011132122000
532424132241
63245541200
7603256530
oct205363200
972748750
1034989696
1118829305
12b874800
137331181
14490b4c0
1531124b6
hex215e680

34989696 has 96 divisors (see below), whose sum is σ = 115096800. Its totient is φ = 9994752.

The previous prime is 34989683. The next prime is 34989701. The reversal of 34989696 is 69698943.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5895 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 234989696 is an apocalyptic number.

34989696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548400).

34989696 is an abundant number, since it is smaller than the sum of its proper divisors (80107104).

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

34989696 is a wasteful number, since it uses less digits than its factorization.

34989696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4351 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 34989696 is about 5915.2088720518. The cubic root of 34989696 is about 327.0745278042.

The spelling of 34989696 in words is "thirty-four million, nine hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 4339 8064 8678 13017 17356 26034 30373 34712 39051 52068 60746 69424 78102 91119 104136 121492 138848 156204 182238 208272 242984 273357 277696 312408 364476 416544 485968 546714 555392 624816 728952 833088 971936 1093428 1249632 1457904 1666176 1943872 2186856 2499264 2915808 3887744 4373712 4998528 5831616 8747424 11663232 17494848 34989696