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235339104 = 253711133179
BaseRepresentation
bin11100000011011…
…11110101100000
3121101211110120010
432001233311200
5440221322404
635204044520
75555230560
oct1601576540
9541743503
10235339104
1111092a830
1266993740
13399ab510
1423380da0
15159da189
hexe06fd60

235339104 has 384 divisors, whose sum is σ = 867041280. Its totient is φ = 53913600.

The previous prime is 235339103. The next prime is 235339123. The reversal of 235339104 is 401933532.

235339104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235339103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2978937 + ... + 2979015.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2235339104 is an apocalyptic number.

235339104 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 235339104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433520640).

235339104 is an abundant number, since it is smaller than the sum of its proper divisors (631702176).

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

235339104 is a wasteful number, since it uses less digits than its factorization.

235339104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 235339104 is about 15340.7660825658. The cubic root of 235339104 is about 617.3972611232.

The spelling of 235339104 in words is "two hundred thirty-five million, three hundred thirty-nine thousand, one hundred four".