Base | Representation |
---|---|
bin | 11100101001100… |
… | …00101100000000 |
3 | 121202012200122000 |
4 | 32110300230000 |
5 | 443010321303 |
6 | 35502544000 |
7 | 5645500050 |
oct | 1624605400 |
9 | 552180560 |
10 | 240323328 |
11 | 113724523 |
12 | 68598000 |
13 | 3aa3506b |
14 | 23cbb560 |
15 | 16171da3 |
hex | e530b00 |
240323328 has 144 divisors (see below), whose sum is σ = 812367360. Its totient is φ = 68649984.
The previous prime is 240323323. The next prime is 240323329. The reversal of 240323328 is 823323042.
240323328 is a `hidden beast` number, since 2 + 403 + 233 + 28 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (240323323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45901 + ... + 50867.
It is an arithmetic number, because the mean of its divisors is an integer number (5641440).
Almost surely, 2240323328 is an apocalyptic number.
240323328 is a gapful number since it is divisible by the number (28) 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 240323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406183680).
240323328 is an abundant number, since it is smaller than the sum of its proper divisors (572044032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240323328 is an equidigital number, since it uses as much as digits as its factorization.
240323328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4999 (or 4979 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 240323328 is about 15502.3652388918. The cubic root of 240323328 is about 621.7254468718.
The spelling of 240323328 in words is "two hundred forty million, three hundred twenty-three thousand, three hundred twenty-eight".
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