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332864080 = 24517244753
BaseRepresentation
bin10011110101110…
…001101001010000
3212012100020200021
4103311301221100
51140203122310
653010233224
711151204133
oct2365615120
9765306607
10332864080
1116099078a
1293585814
1353c665c3
14322ca21a
151e3515da
hex13d71a50

332864080 has 40 divisors (see below), whose sum is σ = 819436392. Its totient is φ = 125313024.

The previous prime is 332864069. The next prime is 332864089. The reversal of 332864080 is 80468233.

It can be written as a sum of positive squares in 4 ways, for example, as 55175184 + 277688896 = 7428^2 + 16664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3328640802 = 221596991508492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332864089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121017 + ... + 123736.

Almost surely, 2332864080 is an apocalyptic number.

It is an amenable number.

332864080 is an abundant number, since it is smaller than the sum of its proper divisors (486572312).

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

332864080 is a wasteful number, since it uses less digits than its factorization.

332864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244783 (or 244777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 332864080 is about 18244.5630257345. The cubic root of 332864080 is about 693.0357594647.

The spelling of 332864080 in words is "three hundred thirty-two million, eight hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 244753 489506 979012 1223765 1958024 2447530 3916048 4160801 4895060 8321602 9790120 16643204 19580240 20804005 33286408 41608010 66572816 83216020 166432040 332864080