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3244705632 = 253271609477
BaseRepresentation
bin1100000101100110…
…0100011101100000
322101010111010100200
43001121210131200
523121121040012
61253545145200
7143256354120
oct30131443540
98333433320
103244705632
111415608403
1276678b200
133c92c217c
1422ad04c80
1513ecce3dc
hexc1664760

3244705632 has 72 divisors (see below), whose sum is σ = 10545299856. Its totient is φ = 927058176.

The previous prime is 3244705619. The next prime is 3244705661. The reversal of 3244705632 is 2365074423.

3244705632 is a `hidden beast` number, since 3 + 24 + 4 + 70 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32447056322 = 21056229276665038848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802723 + ... + 806754.

It is an arithmetic number, because the mean of its divisors is an integer number (146462498).

Almost surely, 23244705632 is an apocalyptic number.

3244705632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3244705632 is an abundant number, since it is smaller than the sum of its proper divisors (7300594224).

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

3244705632 is a wasteful number, since it uses less digits than its factorization.

3244705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609500 (or 1609489 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3244705632 is about 56962.3176494777. The cubic root of 3244705632 is about 1480.4432614345.

The spelling of 3244705632 in words is "three billion, two hundred forty-four million, seven hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1609477 3218954 4828431 6437908 9656862 11266339 12875816 14485293 19313724 22532678 25751632 28970586 33799017 38627448 45065356 51503264 57941172 67598034 77254896 90130712 101397051 115882344 135196068 154509792 180261424 202794102 231764688 270392136 360522848 405588204 463529376 540784272 811176408 1081568544 1622352816 3244705632