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2382238944 = 25332757221
BaseRepresentation
bin1000110111111110…
…0001010011100000
320011000121021111000
42031333201103200
514334323121234
61032215352000
7113014461021
oct21577412340
96130537430
102382238944
111012791418
12565982600
132bc70a657
14188558c48
15de218899
hex8dfe14e0

2382238944 has 48 divisors (see below), whose sum is σ = 6948199440. Its totient is φ = 794079360.

The previous prime is 2382238939. The next prime is 2382238979. The reversal of 2382238944 is 4498322832.

2382238944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2382238944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377747 + ... + 1379474.

It is an arithmetic number, because the mean of its divisors is an integer number (144754155).

Almost surely, 22382238944 is an apocalyptic number.

2382238944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2382238944 is an abundant number, since it is smaller than the sum of its proper divisors (4565960496).

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

2382238944 is a wasteful number, since it uses less digits than its factorization.

2382238944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757240 (or 2757226 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2382238944 is about 48808.1852151870. The cubic root of 2382238944 is about 1335.5549870240.

The spelling of 2382238944 in words is "two billion, three hundred eighty-two million, two hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2757221 5514442 8271663 11028884 16543326 22057768 24814989 33086652 44115536 49629978 66173304 74444967 88231072 99259956 132346608 148889934 198519912 264693216 297779868 397039824 595559736 794079648 1191119472 2382238944