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325079040 = 21235111337
BaseRepresentation
bin10011011000000…
…101000000000000
3211122200201121110
4103120011000000
51131210012130
652131323320
711025061206
oct2330050000
9748621543
10325079040
11157553770
1290a50540
135246bc80
1431261076
151d814ab0
hex13605000

325079040 has 416 divisors, whose sum is σ = 1254992256. Its totient is φ = 70778880.

The previous prime is 325079023. The next prime is 325079059. The reversal of 325079040 is 40970523.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 325078989 and 325079007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785902 + ... + 8785938.

Almost surely, 2325079040 is an apocalyptic number.

325079040 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 325079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627496128).

325079040 is an abundant number, since it is smaller than the sum of its proper divisors (929913216).

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

325079040 is a wasteful number, since it uses less digits than its factorization.

325079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 325079040 is about 18029.9484192274. The cubic root of 325079040 is about 687.5901651441.

The spelling of 325079040 in words is "three hundred twenty-five million, seventy-nine thousand, forty".