Base | Representation |
---|---|
bin | 11011111100101… |
… | …01011010010000 |
3 | 121100011000022010 |
4 | 31332111122100 |
5 | 440004210212 |
6 | 35132542520 |
7 | 5544513315 |
oct | 1576253220 |
9 | 540130263 |
10 | 234444432 |
11 | 110379632 |
12 | 66621a40 |
13 | 39757221 |
14 | 231cad0c |
15 | 158b003c |
hex | df95690 |
234444432 has 80 divisors (see below), whose sum is σ = 628656192. Its totient is φ = 75225600.
The previous prime is 234444409. The next prime is 234444443.
234444432 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 234444432.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178723 + ... + 180029.
Almost surely, 2234444432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 234444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314328096).
234444432 is an abundant number, since it is smaller than the sum of its proper divisors (394211760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234444432 is a wasteful number, since it uses less digits than its factorization.
234444432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).
The product of its digits is 36864, while the sum is 30.
The square root of 234444432 is about 15311.5783641008. The cubic root of 234444432 is about 616.6138957846.
The spelling of 234444432 in words is "two hundred thirty-four million, four hundred forty-four thousand, four hundred thirty-two".
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