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23380034832 = 24337211314179
BaseRepresentation
bin10101110001100011…
…110000010100010000
32020100101122211101000
4111301203300110100
5340340242103312
614423551142000
71455244005600
oct256143602420
966311584330
1023380034832
119a08469240
124645b14900
132287a3014b
1411bb176c00
1591c87cadc
hex5718f0510

23380034832 has 960 divisors, whose sum is σ = 91194163200. Its totient is φ = 5660928000.

The previous prime is 23380034827. The next prime is 23380034833. The reversal of 23380034832 is 23843008332.

It is a happy number.

23380034832 is a `hidden beast` number, since 233 + 80 + 0 + 348 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23380034833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295949769 + ... + 295949847.

It is an arithmetic number, because the mean of its divisors is an integer number (94993920).

Almost surely, 223380034832 is an apocalyptic number.

23380034832 is a gapful number since it is divisible by the number (22) 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 23380034832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

23380034832 is an abundant number, since it is smaller than the sum of its proper divisors (67814128368).

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

23380034832 is a wasteful number, since it uses less digits than its factorization.

23380034832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23380034832 in words is "twenty-three billion, three hundred eighty million, thirty-four thousand, eight hundred thirty-two".