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325326960 = 243257173797
BaseRepresentation
bin10011011001000…
…001100001110000
3211200011022200200
4103121001201300
51131240430320
652140515200
711030143050
oct2331014160
9750138620
10325326960
11157702a62
1290b4bb00
1352527a7a
14312c7560
151d863290
hex13641870

325326960 has 240 divisors, whose sum is σ = 1322433216. Its totient is φ = 69967872.

The previous prime is 325326941. The next prime is 325326961. The reversal of 325326960 is 69623523.

325326960 is a `hidden beast` number, since 3 + 2 + 532 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325326961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83782 + ... + 87578.

Almost surely, 2325326960 is an apocalyptic number.

325326960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661216608).

325326960 is an abundant number, since it is smaller than the sum of its proper divisors (997106256).

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

325326960 is a wasteful number, since it uses less digits than its factorization.

325326960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 325326960 is about 18036.8223365425. The cubic root of 325326960 is about 687.7649165284.

The spelling of 325326960 in words is "three hundred twenty-five million, three hundred twenty-six thousand, nine hundred sixty".