Base | Representation |
---|---|
bin | 1000101110111011… |
… | …1011010001100000 |
3 | 20001101021112021012 |
4 | 2023232323101200 |
5 | 14300122200212 |
6 | 1024343120052 |
7 | 112044341156 |
oct | 21356732140 |
9 | 6041245235 |
10 | 2344334432 |
11 | aa3352180 |
12 | 555143028 |
13 | 2b48c884b |
14 | 1834cd3d6 |
15 | dac2c922 |
hex | 8bbbb460 |
2344334432 has 192 divisors, whose sum is σ = 5507647488. Its totient is φ = 971520000.
The previous prime is 2344334431. The next prime is 2344334491.
2344334432 is nontrivially palindromic in base 10.
2344334432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2344334431) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23211182 + ... + 23211282.
It is an arithmetic number, because the mean of its divisors is an integer number (28685664).
Almost surely, 22344334432 is an apocalyptic number.
2344334432 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 2344334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753823744).
2344334432 is an abundant number, since it is smaller than the sum of its proper divisors (3163313056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2344334432 is a wasteful number, since it uses less digits than its factorization.
2344334432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 253 (or 245 counting only the distinct ones).
The product of its digits is 82944, while the sum is 32.
The square root of 2344334432 is about 48418.3274391010. The cubic root of 2344334432 is about 1328.4336114887.
It can be divided in two parts, 23443 and 34432, that added together give a palindrome (57875).
The spelling of 2344334432 in words is "two billion, three hundred forty-four million, three hundred thirty-four thousand, four hundred thirty-two".
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