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332645364 = 223221134373
BaseRepresentation
bin10011110100111…
…100001111110100
3212011221010122200
4103310330033310
51140124122424
653001424500
711146303362
oct2364741764
9764833580
10332645364
11160851427
129349b130
1353bbab9c
1432270632
151e30b8c9
hex13d3c3f4

332645364 has 36 divisors (see below), whose sum is σ = 841443876. Its totient is φ = 110803968.

The previous prime is 332645359. The next prime is 332645371. The reversal of 332645364 is 463546233.

332645364 is a `hidden beast` number, since 3 + 3 + 2 + 645 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61779600 + 270865764 = 7860^2 + 16458^2 .

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

It is a super-2 number, since 2×3326453642 = 221305876381384992, 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73882 + ... + 78254.

It is an arithmetic number, because the mean of its divisors is an integer number (23373441).

Almost surely, 2332645364 is an apocalyptic number.

It is an amenable number.

332645364 is an abundant number, since it is smaller than the sum of its proper divisors (508798512).

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

332645364 is a wasteful number, since it uses less digits than its factorization.

332645364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6491 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 332645364 is about 18238.5680358958. The cubic root of 332645364 is about 692.8839345110.

The spelling of 332645364 in words is "three hundred thirty-two million, six hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2113 4226 4373 6339 8452 8746 12678 13119 17492 19017 25356 26238 38034 39357 52476 76068 78714 157428 9240149 18480298 27720447 36960596 55440894 83161341 110881788 166322682 332645364