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2379448320 = 2153547103
BaseRepresentation
bin1000110111010011…
…1000000000000000
320010211100111110120
42031310320000000
514333114321240
61032035500240
7112651656054
oct21564700000
96124314416
102379448320
111011155817
12564a57680
132bbc713b2
1418802dc64
15ddd66ad0
hex8dd38000

2379448320 has 256 divisors, whose sum is σ = 7851617280. Its totient is φ = 614989824.

The previous prime is 2379448319. The next prime is 2379448343. The reversal of 2379448320 is 238449732.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23101389 + ... + 23101491.

It is an arithmetic number, because the mean of its divisors is an integer number (30670380).

Almost surely, 22379448320 is an apocalyptic number.

2379448320 is a gapful number since it is divisible by the number (20) 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 2379448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925808640).

2379448320 is an abundant number, since it is smaller than the sum of its proper divisors (5472168960).

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

2379448320 is an equidigital number, since it uses as much as digits as its factorization.

2379448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2379448320 is about 48779.5891741618. The cubic root of 2379448320 is about 1335.0332806022.

The spelling of 2379448320 in words is "two billion, three hundred seventy-nine million, four hundred forty-eight thousand, three hundred twenty".