Base | Representation |
---|---|
bin | 1000100111001110… |
… | …1101001100010000 |
3 | 12222010111110002100 |
4 | 2021303231030100 |
5 | 14213340024130 |
6 | 1021230520400 |
7 | 111202646052 |
oct | 21163551420 |
9 | 5863443070 |
10 | 2312033040 |
11 | a8709a709 |
12 | 546366100 |
13 | 2aacc91b5 |
14 | 17d0c18d2 |
15 | d7e9bc60 |
hex | 89ced310 |
2312033040 has 120 divisors (see below), whose sum is σ = 7786298520. Its totient is φ = 614817792.
The previous prime is 2312033021. The next prime is 2312033047. The reversal of 2312033040 is 403302132.
It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 2216149776 = 9792^2 + 47076^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 (2312033047) 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, 264256 + ... + 272864.
It is an arithmetic number, because the mean of its divisors is an integer number (64885821).
Almost surely, 22312033040 is an apocalyptic number.
2312033040 is a gapful number since it is divisible by the number (20) 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 2312033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893149260).
2312033040 is an abundant number, since it is smaller than the sum of its proper divisors (5474265480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2312033040 is a wasteful number, since it uses less digits than its factorization.
2312033040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9001 (or 8992 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2312033040 is about 48083.6046901644. The cubic root of 2312033040 is about 1322.3041024966.
Adding to 2312033040 its reverse (403302132), we get a palindrome (2715335172).
The spelling of 2312033040 in words is "two billion, three hundred twelve million, thirty-three thousand, forty".
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