Base | Representation |
---|---|
bin | 1000110011101001… |
… | …1111101010111000 |
3 | 20002202112222022110 |
4 | 2030322133222320 |
5 | 14320210104222 |
6 | 1030331452320 |
7 | 112404616005 |
oct | 21472375270 |
9 | 6082488273 |
10 | 2364144312 |
11 | 1003552682 |
12 | 55b8b70a0 |
13 | 2b8a4357a |
14 | 185da88ac |
15 | dc84230c |
hex | 8ce9fab8 |
2364144312 has 128 divisors (see below), whose sum is σ = 6360883200. Its totient is φ = 730021248.
The previous prime is 2364144301. The next prime is 2364144313. The reversal of 2364144312 is 2134414632.
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 2364144312.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2364144313) 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, 6812923 + ... + 6813269.
It is an arithmetic number, because the mean of its divisors is an integer number (49694400).
Almost surely, 22364144312 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 2364144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180441600).
2364144312 is an abundant number, since it is smaller than the sum of its proper divisors (3996738888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2364144312 is a wasteful number, since it uses less digits than its factorization.
2364144312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 665 (or 661 counting only the distinct ones).
The product of its digits is 13824, while the sum is 30.
The square root of 2364144312 is about 48622.4671525417. The cubic root of 2364144312 is about 1332.1649238023.
Adding to 2364144312 its reverse (2134414632), we get a palindrome (4498558944).
The spelling of 2364144312 in words is "two billion, three hundred sixty-four million, one hundred forty-four thousand, three hundred twelve".
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