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325790640 = 24335729743
BaseRepresentation
bin10011011010110…
…010101110110000
3211201000212202000
4103122302232300
51131400300030
652154454000
711034113640
oct2332625660
9751025660
10325790640
1115799a36a
1291134300
135265ab36
14313a8520
151d905860
hex136b2bb0

325790640 has 320 divisors, whose sum is σ = 1328486400. Its totient is φ = 71801856.

The previous prime is 325790609. The next prime is 325790651. The reversal of 325790640 is 46097523.

325790640 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 9 + 0 + 640 = 666.

It is a super-2 number, since 2×3257906402 = 212279082223219200, which contains 22 as substring.

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 = 325790595 and 325790604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438109 + ... + 438851.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2325790640 is an apocalyptic number.

325790640 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 325790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664243200).

325790640 is an abundant number, since it is smaller than the sum of its proper divisors (1002695760).

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

325790640 is a wasteful number, since it uses less digits than its factorization.

325790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 325790640 is about 18049.6714651542. The cubic root of 325790640 is about 688.0915125252.

The spelling of 325790640 in words is "three hundred twenty-five million, seven hundred ninety thousand, six hundred forty".