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332045568 = 283467239
BaseRepresentation
bin10011110010101…
…001110100000000
3212010210122220000
4103302221310000
51140000424233
652540520000
711141224611
oct2362516400
9763718800
10332045568
11160481828
1293250000
1353a3ab8a
1432155c08
151e23dd13
hex13ca9d00

332045568 has 180 divisors, whose sum is σ = 1009081920. Its totient is φ = 108573696.

The previous prime is 332045551. The next prime is 332045587. The reversal of 332045568 is 865540233.

It is a happy number.

332045568 is a `hidden beast` number, since 33 + 20 + 45 + 568 = 666.

It is a super-2 number, since 2×3320455682 = 220508518456885248, 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1389193 + ... + 1389431.

Almost surely, 2332045568 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 332045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504540960).

332045568 is an abundant number, since it is smaller than the sum of its proper divisors (677036352).

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

332045568 is an equidigital number, since it uses as much as digits as its factorization.

332045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 332045568 is about 18222.1175498349. The cubic root of 332045568 is about 692.4672354354.

The spelling of 332045568 in words is "three hundred thirty-two million, forty-five thousand, five hundred sixty-eight".