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238076928 = 2103379109
BaseRepresentation
bin11100011000011…
…00010000000000
3121120222120011000
432030030100000
5441421430203
635342452000
75620422555
oct1614142000
9546876130
10238076928
1111242a7a1
1267894000
133a42972b
1423894a2c
1515d7b4a3
hexe30c400

238076928 has 176 divisors, whose sum is σ = 720544000. Its totient is φ = 77635584.

The previous prime is 238076903. The next prime is 238076957. The reversal of 238076928 is 829670832.

238076928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184138 + ... + 2184246.

It is an arithmetic number, because the mean of its divisors is an integer number (4094000).

Almost surely, 2238076928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360272000).

238076928 is an abundant number, since it is smaller than the sum of its proper divisors (482467072).

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

238076928 is a wasteful number, since it uses less digits than its factorization.

238076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 238076928 is about 15429.7416699049. The cubic root of 238076928 is about 619.7822058468.

The spelling of 238076928 in words is "two hundred thirty-eight million, seventy-six thousand, nine hundred twenty-eight".