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4323840768 = 283213241599
BaseRepresentation
bin1000000011011100…
…01001001100000000
3102011100001212110200
410001232021030000
532323400401033
61553014525200
7212102016522
oct40156111400
912140055420
104323840768
111919771625
12a08066800
1353ba48b80
142d0371a12
151a48e3013
hex101b89300

4323840768 has 216 divisors, whose sum is σ = 13503890400. Its totient is φ = 1322680320.

The previous prime is 4323840767. The next prime is 4323840799. The reversal of 4323840768 is 8670483234.

4323840768 is a `hidden beast` number, since 4 + 3 + 238 + 407 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4323840767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7218133 + ... + 7218731.

Almost surely, 24323840768 is an apocalyptic number.

4323840768 is a gapful number since it is divisible by the number (48) 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 4323840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751945200).

4323840768 is an abundant number, since it is smaller than the sum of its proper divisors (9180049632).

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

4323840768 is a wasteful number, since it uses less digits than its factorization.

4323840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 858 counting only the distinct ones).

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

The square root of 4323840768 is about 65755.9181214893. The cubic root of 4323840768 is about 1629.1330866332.

The spelling of 4323840768 in words is "four billion, three hundred twenty-three million, eight hundred forty thousand, seven hundred sixty-eight".