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332160096 = 25316321227
BaseRepresentation
bin10011110011000…
…101110001100000
3212011000110222210
4103303011301200
51140013110341
652543202120
711142212532
oct2363056140
9764013883
10332160096
1116054a884
12932a6340
1353a7b048
1432185852
151e262c16
hex13cc5c60

332160096 has 48 divisors (see below), whose sum is σ = 877310784. Its totient is φ = 110035584.

The previous prime is 332160091. The next prime is 332160163. The reversal of 332160096 is 690061233.

It is a happy number.

332160096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3321600962 = 220660658749458432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332160091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5035 + ... + 26261.

It is an arithmetic number, because the mean of its divisors is an integer number (18277308).

Almost surely, 2332160096 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 332160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438655392).

332160096 is an abundant number, since it is smaller than the sum of its proper divisors (545150688).

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

332160096 is a wasteful number, since it uses less digits than its factorization.

332160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 332160096 is about 18225.2598335387. The cubic root of 332160096 is about 692.5468407455.

The spelling of 332160096 in words is "three hundred thirty-two million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 21227 42454 63681 84908 127362 169816 254724 339632 509448 679264 1018896 2037792 3460001 6920002 10380003 13840004 20760006 27680008 41520012 55360016 83040024 110720032 166080048 332160096