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2384274984 = 2337132791063
BaseRepresentation
bin1000111000011101…
…0010011000101000
320011011102201101220
42032013102120220
514340333244414
61032331142040
7113041001010
oct21607223050
96134381356
102384274984
1110139520a3
125665a4920
132bcc71300
14188928c40
15de4bbca9
hex8e1d2628

2384274984 has 192 divisors, whose sum is σ = 7476940800. Its totient is φ = 620275968.

The previous prime is 2384274961. The next prime is 2384274989. The reversal of 2384274984 is 4894724832.

It is not an unprimeable number, because it can be changed into a prime (2384274989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242437 + ... + 2243499.

It is an arithmetic number, because the mean of its divisors is an integer number (38942400).

Almost surely, 22384274984 is an apocalyptic number.

2384274984 is a gapful number since it is divisible by the number (24) 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 2384274984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738470400).

2384274984 is an abundant number, since it is smaller than the sum of its proper divisors (5092665816).

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

2384274984 is a wasteful number, since it uses less digits than its factorization.

2384274984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 2384274984 is about 48829.0383276181. The cubic root of 2384274984 is about 1335.9353671507.

The spelling of 2384274984 in words is "two billion, three hundred eighty-four million, two hundred seventy-four thousand, nine hundred eighty-four".