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238375368 = 2332711193173
BaseRepresentation
bin11100011010101…
…01000111001000
3121121112201112100
432031111013020
5442011002433
635353113400
75623104630
oct1615250710
9547481470
10238375368
11112613a40
12679b8860
133a50251a
14239316c0
1515dd9b13
hexe3551c8

238375368 has 384 divisors, whose sum is σ = 886579200. Its totient is φ = 55987200.

The previous prime is 238375367. The next prime is 238375393. The reversal of 238375368 is 863573832.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238375363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265380 + ... + 3265452.

It is an arithmetic number, because the mean of its divisors is an integer number (2308800).

Almost surely, 2238375368 is an apocalyptic number.

238375368 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 238375368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443289600).

238375368 is an abundant number, since it is smaller than the sum of its proper divisors (648203832).

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

238375368 is a wasteful number, since it uses less digits than its factorization.

238375368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 238375368 is about 15439.4095742033. The cubic root of 238375368 is about 620.0410725479.

The spelling of 238375368 in words is "two hundred thirty-eight million, three hundred seventy-five thousand, three hundred sixty-eight".