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238332096 = 26323753211
BaseRepresentation
bin11100011010010…
…10100011000000
3121121110112011200
432031022203000
5442003111341
635352141200
75622534522
oct1615124300
9547415150
10238332096
11112594482
1267997800
133a4b8912
142391da12
1515dcbdb6
hexe34a8c0

238332096 has 168 divisors, whose sum is σ = 718224624. Its totient is φ = 75479040.

The previous prime is 238332077. The next prime is 238332113. The reversal of 238332096 is 690233832.

238332096 is a `hidden beast` number, since 238 + 332 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238332096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129431 + ... + 1129641.

Almost surely, 2238332096 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 238332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359112312).

238332096 is an abundant number, since it is smaller than the sum of its proper divisors (479892528).

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

238332096 is a wasteful number, since it uses less digits than its factorization.

238332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 238332096 is about 15438.0081616768. The cubic root of 238332096 is about 620.0035518354.

The spelling of 238332096 in words is "two hundred thirty-eight million, three hundred thirty-two thousand, ninety-six".