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325321920 = 26345711163
BaseRepresentation
bin10011011001000…
…000010011000000
3211200011001210000
4103121000103000
51131240300140
652140440000
711030122260
oct2331002300
9750131700
10325321920
111576aa1a0
1290b49000
13525256a1
14312c57a0
151d861a30
hex136404c0

325321920 has 560 divisors, whose sum is σ = 1451628288. Its totient is φ = 67184640.

The previous prime is 325321907. The next prime is 325321949. The reversal of 325321920 is 29123523.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995759 + ... + 1995921.

Almost surely, 2325321920 is an apocalyptic number.

325321920 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 325321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725814144).

325321920 is an abundant number, since it is smaller than the sum of its proper divisors (1126306368).

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

325321920 is a wasteful number, since it uses less digits than its factorization.

325321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 325321920 is about 18036.6826218127. The cubic root of 325321920 is about 687.7613648675.

The spelling of 325321920 in words is "three hundred twenty-five million, three hundred twenty-one thousand, nine hundred twenty".