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332894664 = 23331918069
BaseRepresentation
bin10011110101111…
…001000111001000
3212012101210122000
4103311321013020
51140210112124
653011031000
711151362244
oct2365710710
9765353560
10332894664
11160a01763
129359b460
1353c774bb
14322d7424
151e35a6c9
hex13d791c8

332894664 has 64 divisors (see below), whose sum is σ = 929664000. Its totient is φ = 110370240.

The previous prime is 332894651. The next prime is 332894669. The reversal of 332894664 is 466498233.

332894664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328946642 = 221637714639345792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332894669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37222 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (14526000).

Almost surely, 2332894664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332894664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464832000).

332894664 is an abundant number, since it is smaller than the sum of its proper divisors (596769336).

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

332894664 is a wasteful number, since it uses less digits than its factorization.

332894664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8265 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 332894664 is about 18245.4011739945. The cubic root of 332894664 is about 693.0569845010.

The spelling of 332894664 in words is "three hundred thirty-two million, eight hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2292 3438 4584 5157 6876 8069 10314 13752 16138 20628 24207 32276 41256 48414 64552 72621 96828 145242 193656 217863 290484 435726 580968 871452 1541179 1742904 3082358 4623537 6164716 9247074 12329432 13870611 18494148 27741222 36988296 41611833 55482444 83223666 110964888 166447332 332894664