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2387242368 = 27347237127
BaseRepresentation
bin1000111001001010…
…0110110110000000
320011101000110220000
42032102212312000
514342113223433
61032514520000
7113105140200
oct21622466600
96141013800
102387242368
111015599585
12567596000
132c076cb64
1418909c400
15de8a6113
hex8e4a6d80

2387242368 has 480 divisors, whose sum is σ = 8554487040. Its totient is φ = 658409472.

The previous prime is 2387242339. The next prime is 2387242369. The reversal of 2387242368 is 8632427832.

It is a super-2 number, since 2×23872423682 = 11397852247148494848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387242369) 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 59 ways as a sum of consecutive naturals, for example, 18797121 + ... + 18797247.

It is an arithmetic number, because the mean of its divisors is an integer number (17821848).

Almost surely, 22387242368 is an apocalyptic number.

2387242368 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 2387242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277243520).

2387242368 is an abundant number, since it is smaller than the sum of its proper divisors (6167244672).

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

2387242368 is a wasteful number, since it uses less digits than its factorization.

2387242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2387242368 is about 48859.4143231374. The cubic root of 2387242368 is about 1336.4893566324.

The spelling of 2387242368 in words is "two billion, three hundred eighty-seven million, two hundred forty-two thousand, three hundred sixty-eight".