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328020480 = 2932523619
BaseRepresentation
bin10011100011010…
…011001000000000
3211212020011111200
4103203103020000
51132433123410
652314341200
711062061634
oct2343231000
9755204450
10328020480
11159182707
1291a2a800
1352c5ba78
14317c8dc4
151dbe63c0
hex138d3200

328020480 has 240 divisors, whose sum is σ = 1187334720. Its totient is φ = 83533824.

The previous prime is 328020467. The next prime is 328020481. The reversal of 328020480 is 84020823.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328020481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529611 + ... + 530229.

It is an arithmetic number, because the mean of its divisors is an integer number (4947228).

Almost surely, 2328020480 is an apocalyptic number.

328020480 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 328020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593667360).

328020480 is an abundant number, since it is smaller than the sum of its proper divisors (859314240).

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

328020480 is a wasteful number, since it uses less digits than its factorization.

328020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 328020480 is about 18111.3356768627. The cubic root of 328020480 is about 689.6578013325.

The spelling of 328020480 in words is "three hundred twenty-eight million, twenty thousand, four hundred eighty".