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2348123904 = 2834722311
BaseRepresentation
bin1000101111110101…
…1000011100000000
320001122102001110000
42023331120130000
514302104431104
61025000240000
7112121503200
oct21375303400
96048361400
102348123904
11aa5500275
12556470000
132b5624639
14183bd8400
15db22a639
hex8bf58700

2348123904 has 270 divisors, whose sum is σ = 8148336504. Its totient is φ = 670602240.

The previous prime is 2348123903. The next prime is 2348123909. The reversal of 2348123904 is 4093218432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348123903) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014909 + ... + 1017219.

Almost surely, 22348123904 is an apocalyptic number.

2348123904 is a gapful number since it is divisible by the number (24) 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 2348123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074168252).

2348123904 is an abundant number, since it is smaller than the sum of its proper divisors (5800212600).

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

2348123904 is an equidigital number, since it uses as much as digits as its factorization.

2348123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2348123904 is about 48457.4442578228. Note that the first 3 decimals coincide. The cubic root of 2348123904 is about 1329.1490031612.

The spelling of 2348123904 in words is "two billion, three hundred forty-eight million, one hundred twenty-three thousand, nine hundred four".