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34638696 = 2332481093
BaseRepresentation
bin1000010000100…
…0101101101000
32102011211100200
42010020231220
532331414241
63234232200
7600265311
oct204105550
972154320
1034638696
1118609624
12b725660
13723a491
144859608
1530934b6
hex2108b68

34638696 has 24 divisors (see below), whose sum is σ = 93813330. Its totient is φ = 11546208.

The previous prime is 34638683. The next prime is 34638743. The reversal of 34638696 is 69683643.

34638696 is a `hidden beast` number, since 3 + 4 + 638 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27185796 + 7452900 = 5214^2 + 2730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240475 + ... + 240618.

Almost surely, 234638696 is an apocalyptic number.

34638696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34638696 is an abundant number, since it is smaller than the sum of its proper divisors (59174634).

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

34638696 is a wasteful number, since it uses less digits than its factorization.

34638696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481105 (or 481098 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 34638696 is about 5885.4648074727. The cubic root of 34638696 is about 325.9771647723.

The spelling of 34638696 in words is "thirty-four million, six hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 481093 962186 1443279 1924372 2886558 3848744 4329837 5773116 8659674 11546232 17319348 34638696