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234256320 = 26335191427
BaseRepresentation
bin11011111011001…
…11011111000000
3121022210110021000
431331213133000
5434432200240
635124532000
75543101014
oct1575473700
9538713230
10234256320
11110260271
1266551000
13396bc70c
142317c544
1515874430
hexdf677c0

234256320 has 224 divisors, whose sum is σ = 870508800. Its totient is φ = 59139072.

The previous prime is 234256289. The next prime is 234256327. The reversal of 234256320 is 23652432.

234256320 is a `hidden beast` number, since 2 + 3 + 4 + 25 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234256327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163447 + ... + 164873.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2234256320 is an apocalyptic number.

234256320 is a gapful number since it is divisible by the number (20) 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 234256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435254400).

234256320 is an abundant number, since it is smaller than the sum of its proper divisors (636252480).

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

234256320 is a wasteful number, since it uses less digits than its factorization.

234256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 234256320 is about 15305.4343290218. The cubic root of 234256320 is about 616.4489334392.

The spelling of 234256320 in words is "two hundred thirty-four million, two hundred fifty-six thousand, three hundred twenty".