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2378668032 = 21134131103
BaseRepresentation
bin1000110111000111…
…1001100000000000
320010202212212010000
42031301321200000
514332414334112
61032011040000
7112642226136
oct21561714000
96122785100
102378668032
111010772554
12564740000
132bba5a1a0
14187ca9756
15ddc607dc
hex8dc79800

2378668032 has 240 divisors, whose sum is σ = 7658370720. Its totient is φ = 731234304.

The previous prime is 2378668009. The next prime is 2378668043. The reversal of 2378668032 is 2308668732.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2155993 + ... + 2157095.

It is an arithmetic number, because the mean of its divisors is an integer number (31909878).

Almost surely, 22378668032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829185360).

2378668032 is an abundant number, since it is smaller than the sum of its proper divisors (5279702688).

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

2378668032 is a wasteful number, since it uses less digits than its factorization.

2378668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2378668032 is about 48771.5904190134. The cubic root of 2378668032 is about 1334.8873329990.

The spelling of 2378668032 in words is "two billion, three hundred seventy-eight million, six hundred sixty-eight thousand, thirty-two".