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2372374368 = 2532713131691
BaseRepresentation
bin1000110101100111…
…1000111101100000
320010100001002211100
42031121320331200
514324311434433
61031224114400
7112534564230
oct21531707540
96110032740
102372374368
111008163a81
12562605a00
132ba665620
1418710bcc0
15dd41ab13
hex8d678f60

2372374368 has 288 divisors, whose sum is σ = 8378802432. Its totient is φ = 620006400.

The previous prime is 2372374343. The next prime is 2372374451. The reversal of 2372374368 is 8634732732.

2372374368 is digitally balanced in base 2 and base 4, because in such bases 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 (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432903 + ... + 3433593.

It is an arithmetic number, because the mean of its divisors is an integer number (29093064).

Almost surely, 22372374368 is an apocalyptic number.

2372374368 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 2372374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189401216).

2372374368 is an abundant number, since it is smaller than the sum of its proper divisors (6006428064).

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

2372374368 is a wasteful number, since it uses less digits than its factorization.

2372374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 847 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 2372374368 is about 48707.0258586993. The cubic root of 2372374368 is about 1333.7089770478.

The spelling of 2372374368 in words is "two billion, three hundred seventy-two million, three hundred seventy-four thousand, three hundred sixty-eight".