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235344096 = 25331323911
BaseRepresentation
bin11100000011100…
…01000011100000
3121101211201102000
432001301003200
5440222002341
635204124000
75555251251
oct1601610340
9541751360
10235344096
11110933559
1266996600
13399b0880
1423382b28
15159db8b6
hexe0710e0

235344096 has 192 divisors, whose sum is σ = 772208640. Its totient is φ = 69189120.

The previous prime is 235344091. The next prime is 235344113. The reversal of 235344096 is 690443532.

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

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 235344096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235344091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257881 + ... + 258791.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2235344096 is an apocalyptic number.

235344096 is a gapful number since it is divisible by the number (26) 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 235344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

235344096 is an abundant number, since it is smaller than the sum of its proper divisors (536864544).

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

235344096 is a wasteful number, since it uses less digits than its factorization.

235344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 235344096 is about 15340.9287854419. The cubic root of 235344096 is about 617.4016264911.

The spelling of 235344096 in words is "two hundred thirty-five million, three hundred forty-four thousand, ninety-six".