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325465440 = 253519127281
BaseRepresentation
bin10011011001100…
…011010101100000
3211200102100122120
4103121203111200
51131304343230
652143504240
711031260556
oct2331432540
9750370576
10325465440
11157798003
1290bb8080
1352575b01
1431321bd6
151d88e310
hex13663560

325465440 has 192 divisors, whose sum is σ = 1091543040. Its totient is φ = 81285120.

The previous prime is 325465429. The next prime is 325465447. The reversal of 325465440 is 44564523.

325465440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325465447) 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 31 ways as a sum of consecutive naturals, for example, 1158100 + ... + 1158380.

It is an arithmetic number, because the mean of its divisors is an integer number (5685120).

Almost surely, 2325465440 is an apocalyptic number.

325465440 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 325465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545771520).

325465440 is an abundant number, since it is smaller than the sum of its proper divisors (766077600).

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

325465440 is a wasteful number, since it uses less digits than its factorization.

325465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 325465440 is about 18040.6607417799. The cubic root of 325465440 is about 687.8624882914.

The spelling of 325465440 in words is "three hundred twenty-five million, four hundred sixty-five thousand, four hundred forty".