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239431104 = 263211233153
BaseRepresentation
bin11100100010101…
…10110111000000
3121200112100201200
432101112313000
5442243243404
635431501200
75635062603
oct1621266700
9550470650
10239431104
11113175150
1268227800
133a7b1c13
1423b2833a
1516047839
hexe456dc0

239431104 has 336 divisors, whose sum is σ = 821643264. Its totient is φ = 65894400.

The previous prime is 239431091. The next prime is 239431117. The reversal of 239431104 is 401134932.

It is an interprime number because it is at equal distance from previous prime (239431091) and next prime (239431117).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4517542 + ... + 4517594.

Almost surely, 2239431104 is an apocalyptic number.

239431104 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 239431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410821632).

239431104 is an abundant number, since it is smaller than the sum of its proper divisors (582212160).

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

239431104 is a wasteful number, since it uses less digits than its factorization.

239431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 239431104 is about 15473.5614517150. The cubic root of 239431104 is about 620.9550871079.

The spelling of 239431104 in words is "two hundred thirty-nine million, four hundred thirty-one thousand, one hundred four".