Base | Representation |
---|---|
bin | 11011111001010… |
… | …01000000110000 |
3 | 121022022110020200 |
4 | 31330221000300 |
5 | 434401003212 |
6 | 35115235200 |
7 | 5540654001 |
oct | 1574510060 |
9 | 538273220 |
10 | 234000432 |
11 | 1100a5a96 |
12 | 66448b00 |
13 | 396300c3 |
14 | 231131a8 |
15 | 158236dc |
hex | df29030 |
234000432 has 90 divisors (see below), whose sum is σ = 673620948. Its totient is φ = 75828096.
The previous prime is 234000419. The next prime is 234000433.
234000432 is a `hidden beast` number, since 234 + 0 + 0 + 0 + 432 = 666.
234000432 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (234000433) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196543 + ... + 197729.
Almost surely, 2234000432 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 234000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336810474).
234000432 is an abundant number, since it is smaller than the sum of its proper divisors (439620516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234000432 is a wasteful number, since it uses less digits than its factorization.
234000432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1275 (or 1229 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 234000432 is about 15297.0726611336. The cubic root of 234000432 is about 616.2243939894.
It can be divided in two parts, 234000 and 432, that added together give a palindrome (234432).
The spelling of 234000432 in words is "two hundred thirty-four million, four hundred thirty-two", and thus it is an aban number.
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