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34225668 = 22321019413
BaseRepresentation
bin1000001010001…
…1111000000100
32101101211210100
42002203320010
532230210133
63221324100
7563625201
oct202437004
971354710
1034225668
1118357284
12b566630
137124499
14478cca8
153010e13
hex20a3e04

34225668 has 36 divisors (see below), whose sum is σ = 87380748. Its totient is φ = 11294400.

The previous prime is 34225657. The next prime is 34225687. The reversal of 34225668 is 86652243.

34225668 is a `hidden beast` number, since 342 + 256 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 492804 = 5808^2 + 702^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 1071 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (2427243).

Almost surely, 234225668 is an apocalyptic number.

It is an amenable number.

34225668 is an abundant number, since it is smaller than the sum of its proper divisors (53155080).

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

34225668 is a wasteful number, since it uses less digits than its factorization.

34225668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524 (or 9519 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 34225668 is about 5850.2707629647. The cubic root of 34225668 is about 324.6763420854.

The spelling of 34225668 in words is "thirty-four million, two hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 9413 18826 28239 37652 56478 84717 112956 169434 338868 950713 1901426 2852139 3802852 5704278 8556417 11408556 17112834 34225668