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332860164 = 2237131961263
BaseRepresentation
bin10011110101110…
…000101100000100
3212012100001022020
4103311300230010
51140203011124
653010203140
711151156540
oct2365605404
9765301266
10332860164
1116098884a
12935834b0
1353c648a0
14322c8a20
151e350379
hex13d70b04

332860164 has 192 divisors, whose sum is σ = 1026600960. Its totient is φ = 81492480.

The previous prime is 332860147. The next prime is 332860169. The reversal of 332860164 is 461068233.

It is a super-2 number, since 2×3328601642 = 221591777556213792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332860169) 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 63 ways as a sum of consecutive naturals, for example, 1265497 + ... + 1265759.

It is an arithmetic number, because the mean of its divisors is an integer number (5346880).

Almost surely, 2332860164 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 332860164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513300480).

332860164 is an abundant number, since it is smaller than the sum of its proper divisors (693740796).

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

332860164 is a wasteful number, since it uses less digits than its factorization.

332860164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 332860164 is about 18244.4557057754. The cubic root of 332860164 is about 693.0330417000.

The spelling of 332860164 in words is "three hundred thirty-two million, eight hundred sixty thousand, one hundred sixty-four".