Base | Representation |
---|---|
bin | 1001011000010110101… |
… | …10100110111101100100 |
3 | 1010210221112211001111200 |
4 | 10230023112212331210 |
5 | 20240044113221312 |
6 | 404022450402500 |
7 | 32200134331446 |
oct | 4541326467544 |
9 | 1123845731450 |
10 | 322313023332 |
11 | 114768331a53 |
12 | 52571b90430 |
13 | 2451778b3b1 |
14 | 118586c6496 |
15 | 85b65200dc |
hex | 4b0b5a6f64 |
322313023332 has 72 divisors (see below), whose sum is σ = 835962348312. Its totient is φ = 104647065600.
The previous prime is 322313023247. The next prime is 322313023343. The reversal of 322313023332 is 233320313223.
322313023332 is a `hidden beast` number, since 3 + 2 + 23 + 1 + 302 + 3 + 332 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 30200878656 + 292112144676 = 173784^2 + 540474^2 .
It is a junction number, because it is equal to n+sod(n) for n = 322313023296 and 322313023305.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733732 + ... + 1087652.
It is an arithmetic number, because the mean of its divisors is an integer number (11610588171).
Almost surely, 2322313023332 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 322313023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417981174156).
322313023332 is an abundant number, since it is smaller than the sum of its proper divisors (513649324980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
322313023332 is a wasteful number, since it uses less digits than its factorization.
322313023332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 354589 (or 354584 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 322313023332 its reverse (233320313223), we get a palindrome (555633336555).
It can be divided in two parts, 322313023 and 332, that added together give a triangular number (322313355 = T25389).
The spelling of 322313023332 in words is "three hundred twenty-two billion, three hundred thirteen million, twenty-three thousand, three hundred thirty-two".
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