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2923400928 = 2537107109373
BaseRepresentation
bin1010111000111111…
…1000111011100000
321112201220011011110
42232033320323200
521441342312203
61202030343320
7132305332530
oct25617707340
97481804143
102923400928
111270202428
1269705ab40
13377875146
141da3874c0
151219b2d03
hexae3f8ee0

2923400928 has 192 divisors, whose sum is σ = 8957329920. Its totient is φ = 817661952.

The previous prime is 2923400927. The next prime is 2923400951. The reversal of 2923400928 is 8290043292.

It is a happy number.

It is a super-2 number, since 2×29234009282 = 17092545971662522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923400923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837350 + ... + 7837722.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 22923400928 is an apocalyptic number.

2923400928 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 2923400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

2923400928 is an abundant number, since it is smaller than the sum of its proper divisors (6033928992).

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

2923400928 is a wasteful number, since it uses less digits than its factorization.

2923400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2923400928 is about 54068.4836850452. The cubic root of 2923400928 is about 1429.8685924206.

The spelling of 2923400928 in words is "two billion, nine hundred twenty-three million, four hundred thousand, nine hundred twenty-eight".