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328385087280 = 24355171377253
BaseRepresentation
bin1001100011101010100…
…01101100011100110000
31011101121201110212100000
410301311101230130300
520340013040243110
6410505200030000
732503455121005
oct4616521543460
91141551425300
10328385087280
111172a3903518
1253787602300
1324c74769243
1411c72cd38ac
15881e6401c0
hex4c7546c730

328385087280 has 480 divisors, whose sum is σ = 1219954042944. Its totient is φ = 81805344768.

The previous prime is 328385087267. The next prime is 328385087309. The reversal of 328385087280 is 82780583823.

It is a happy number.

328385087280 is a `hidden beast` number, since 3 + 28 + 38 + 508 + 7 + 2 + 80 = 666.

It is a super-3 number, since 3×3283850872803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45272134 + ... + 45279386.

Almost surely, 2328385087280 is an apocalyptic number.

328385087280 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 328385087280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609977021472).

328385087280 is an abundant number, since it is smaller than the sum of its proper divisors (891568955664).

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

328385087280 is a wasteful number, since it uses less digits than its factorization.

328385087280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 328385087280 in words is "three hundred twenty-eight billion, three hundred eighty-five million, eighty-seven thousand, two hundred eighty".