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325693440 = 2123351931
BaseRepresentation
bin10011011010011…
…011000000000000
3211200211221102000
4103122123000000
51131334142230
652152424000
711033230362
oct2332330000
9750757360
10325693440
11157933336
12910a8000
1352625817
1431380d32
151d8d6b60
hex1369b000

325693440 has 416 divisors, whose sum is σ = 1258137600. Its totient is φ = 79626240.

The previous prime is 325693439. The next prime is 325693451. The reversal of 325693440 is 44396523.

325693440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 325693395 and 325693404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506225 + ... + 10506255.

Almost surely, 2325693440 is an apocalyptic number.

325693440 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 325693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629068800).

325693440 is an abundant number, since it is smaller than the sum of its proper divisors (932444160).

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

325693440 is a wasteful number, since it uses less digits than its factorization.

325693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 325693440 is about 18046.9786945073. The cubic root of 325693440 is about 688.0230747624.

The spelling of 325693440 in words is "three hundred twenty-five million, six hundred ninety-three thousand, four hundred forty".