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325412640 = 25345717211
BaseRepresentation
bin10011011001010…
…110011100100000
3211200022200020000
4103121112130200
51131301201030
652142420000
711030650620
oct2331263440
9750280200
10325412640
11157761373
1290b91600
1352557a77
143130a880
151d87d860
hex13656720

325412640 has 480 divisors, whose sum is σ = 1396289664. Its totient is φ = 69672960.

The previous prime is 325412627. The next prime is 325412651. The reversal of 325412640 is 46214523.

325412640 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1542135 + ... + 1542345.

Almost surely, 2325412640 is an apocalyptic number.

325412640 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 325412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698144832).

325412640 is an abundant number, since it is smaller than the sum of its proper divisors (1070877024).

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

325412640 is a wasteful number, since it uses less digits than its factorization.

325412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 325412640 is about 18039.1973213888. The cubic root of 325412640 is about 687.8252891513.

The spelling of 325412640 in words is "three hundred twenty-five million, four hundred twelve thousand, six hundred forty".