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328348426560 = 26357112439391
BaseRepresentation
bin1001100011100110001…
…01110110000101000000
31011101112011111022021120
410301303011312011000
520334424144122220
6410501410152240
732502531401310
oct4616305660500
91141464438246
10328348426560
11117285143800
1253777282680
1324c69ca15cb
1411c6c0ad440
15881b2eca40
hex4c73176140

328348426560 has 672 divisors, whose sum is σ = 1340193017856. Its totient is φ = 66634444800.

The previous prime is 328348426529. The next prime is 328348426583. The reversal of 328348426560 is 65624843823.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 34959465 + ... + 34968855.

It is an arithmetic number, because the mean of its divisors is an integer number (1994334848).

Almost surely, 2328348426560 is an apocalyptic number.

328348426560 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 328348426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670096508928).

328348426560 is an abundant number, since it is smaller than the sum of its proper divisors (1011844591296).

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

328348426560 is a wasteful number, since it uses less digits than its factorization.

328348426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 328348426560 in words is "three hundred twenty-eight billion, three hundred forty-eight million, four hundred twenty-six thousand, five hundred sixty".