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923104080 = 2433517231093
BaseRepresentation
bin110111000001010…
…111001101010000
32101022222112202000
4313001113031100
53342303312310
6231333154000
731606153353
oct6701271520
92338875660
10923104080
11434082838
1221918b900
13119325942
148a85229a
15560924c0
hex37057350

923104080 has 320 divisors, whose sum is σ = 3516203520. Its totient is φ = 221405184.

The previous prime is 923104073. The next prime is 923104093. The reversal of 923104080 is 80401329.

It is a super-2 number, since 2×9231040802 = 1704242285025292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844014 + ... + 845106.

It is an arithmetic number, because the mean of its divisors is an integer number (10988136).

Almost surely, 2923104080 is an apocalyptic number.

923104080 is a gapful number since it is divisible by the number (90) 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 923104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758101760).

923104080 is an abundant number, since it is smaller than the sum of its proper divisors (2593099440).

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

923104080 is a wasteful number, since it uses less digits than its factorization.

923104080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 923104080 is about 30382.6279311056. The cubic root of 923104080 is about 973.6814365495.

The spelling of 923104080 in words is "nine hundred twenty-three million, one hundred four thousand, eighty".