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2379904128 = 27327319317
BaseRepresentation
bin1000110111011010…
…0111010010000000
320010212012122201100
42031312213102000
514333223413003
61032053334400
7112655565000
oct21566472200
96125178640
102379904128
111011437218
12565037400
132bc0a09c4
1418810c000
15dde06ba3
hex8dda7480

2379904128 has 384 divisors, whose sum is σ = 8433360000. Its totient is φ = 642152448.

The previous prime is 2379904091. The next prime is 2379904199. The reversal of 2379904128 is 8214099732.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7507426 + ... + 7507742.

It is an arithmetic number, because the mean of its divisors is an integer number (21961875).

Almost surely, 22379904128 is an apocalyptic number.

2379904128 is a gapful number since it is divisible by the number (28) 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 2379904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216680000).

2379904128 is an abundant number, since it is smaller than the sum of its proper divisors (6053455872).

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

2379904128 is a wasteful number, since it uses less digits than its factorization.

2379904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2379904128 is about 48784.2610685045. The cubic root of 2379904128 is about 1335.1185216492.

The spelling of 2379904128 in words is "two billion, three hundred seventy-nine million, nine hundred four thousand, one hundred twenty-eight".