Base | Representation |
---|---|
bin | 1101101001010010111… |
… | …0000000111100010000 |
3 | 211102002100211202021100 |
4 | 3122110232000330100 |
5 | 12320044332340212 |
6 | 255405333224400 |
7 | 22636141244313 |
oct | 3322456007420 |
9 | 742070752240 |
10 | 234423324432 |
11 | 90466945360 |
12 | 39523a92100 |
13 | 1914bc228bb |
14 | b4bbb9697a |
15 | 6170592bdc |
hex | 3694b80f10 |
234423324432 has 120 divisors (see below), whose sum is σ = 719410749408. Its totient is φ = 70669209600.
The previous prime is 234423324427. The next prime is 234423324439.
234423324432 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (234423324439) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77694 + ... + 689117.
Almost surely, 2234423324432 is an apocalyptic number.
234423324432 is a gapful number since it is divisible by the number (22) 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 234423324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359705374704).
234423324432 is an abundant number, since it is smaller than the sum of its proper divisors (484987424976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234423324432 is a wasteful number, since it uses less digits than its factorization.
234423324432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 767029 (or 767020 counting only the distinct ones).
The product of its digits is 331776, while the sum is 36.
It can be divided in two parts, 234423 and 324432, that added together give a palindrome (558855).
The spelling of 234423324432 in words is "two hundred thirty-four billion, four hundred twenty-three million, three hundred twenty-four thousand, four hundred thirty-two".
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