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330296329920 = 26353159313601
BaseRepresentation
bin1001100111001110011…
…00100000011011000000
31011120112220211001100110
410303213030200123000
520402421330024140
6411422552351320
732602023323664
oct4634714403300
91146486731313
10330296329920
11118094738397
125401b6a5540
13251ba70814b
1411db4a868a4
1588d231e380
hex4ce73206c0

330296329920 has 448 divisors, whose sum is σ = 1106222100480. Its totient is φ = 83386368000.

The previous prime is 330296329919. The next prime is 330296329939. The reversal of 330296329920 is 29923692033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 330296329920.

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, 549577620 + ... + 549578220.

It is an arithmetic number, because the mean of its divisors is an integer number (2469245760).

Almost surely, 2330296329920 is an apocalyptic number.

330296329920 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 330296329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553111050240).

330296329920 is an abundant number, since it is smaller than the sum of its proper divisors (775925770560).

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

330296329920 is a wasteful number, since it uses less digits than its factorization.

330296329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The spelling of 330296329920 in words is "three hundred thirty billion, two hundred ninety-six million, three hundred twenty-nine thousand, nine hundred twenty".