Base | Representation |
---|---|
bin | 1000101110011110… |
… | …1101010111000000 |
3 | 20001020201101221010 |
4 | 2023213231113000 |
5 | 14244131124212 |
6 | 1024234400520 |
7 | 112022301141 |
oct | 21347552700 |
9 | 6036641833 |
10 | 2342442432 |
11 | aa227a740 |
12 | 554590140 |
13 | 2b43b5615 |
14 | 183159ac8 |
15 | da9a703c |
hex | 8b9ed5c0 |
2342442432 has 112 divisors (see below), whose sum is σ = 6777532800. Its totient is φ = 708111360.
The previous prime is 2342442419. The next prime is 2342442449.
2342442432 is nontrivially palindromic in base 10.
2342442432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
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 2342442432.
It is a congruent number.
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, 1073919 + ... + 1076097.
Almost surely, 22342442432 is an apocalyptic number.
2342442432 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 2342442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388766400).
2342442432 is an abundant number, since it is smaller than the sum of its proper divisors (4435090368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342442432 is a wasteful number, since it uses less digits than its factorization.
2342442432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2714 (or 2704 counting only the distinct ones).
The product of its digits is 36864, while the sum is 30.
The square root of 2342442432 is about 48398.7854393062. The cubic root of 2342442432 is about 1328.0761435994.
It can be divided in two parts, 23424 and 42432, that added together give a palindrome (65856).
The spelling of 2342442432 in words is "two billion, three hundred forty-two million, four hundred forty-two thousand, four hundred thirty-two".
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