Base | Representation |
---|---|
bin | 11011111111101… |
… | …11001011100100 |
3 | 121100220100122021 |
4 | 31333313023210 |
5 | 440110014100 |
6 | 35145312524 |
7 | 5551102003 |
oct | 1577671344 |
9 | 540810567 |
10 | 234844900 |
11 | 1106224a4 |
12 | 66795744 |
13 | 398675a4 |
14 | 23292c3a |
15 | 1593da1a |
hex | dff72e4 |
234844900 has 72 divisors (see below), whose sum is σ = 538715520. Its totient is φ = 88717440.
The previous prime is 234844889. The next prime is 234844901. The reversal of 234844900 is 9448432.
234844900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (234844901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135439 + ... + 137161.
It is an arithmetic number, because the mean of its divisors is an integer number (7482160).
Almost surely, 2234844900 is an apocalyptic number.
234844900 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 234844900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269357760).
234844900 is an abundant number, since it is smaller than the sum of its proper divisors (303870620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234844900 is a wasteful number, since it uses less digits than its factorization.
234844900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 34.
The square root of 234844900 is about 15324.6500775711. The cubic root of 234844900 is about 616.9647872716.
The spelling of 234844900 in words is "two hundred thirty-four million, eight hundred forty-four thousand, nine hundred".
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