Base | Representation |
---|---|
bin | 1000101111010010… |
… | …0111100100000100 |
3 | 20001111002100002100 |
4 | 2023310213210010 |
5 | 14301012422224 |
6 | 1024435112100 |
7 | 112063124334 |
oct | 21364474404 |
9 | 6044070070 |
10 | 2345826564 |
11 | aa4181244 |
12 | 555742630 |
13 | 2b4ccba73 |
14 | 18379b0c4 |
15 | dae24ac9 |
hex | 8bd27904 |
2345826564 has 72 divisors (see below), whose sum is σ = 6258980000. Its totient is φ = 738751104.
The previous prime is 2345826547. The next prime is 2345826569. The reversal of 2345826564 is 4656285432.
2345826564 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 82 + 6 + 564 = 666.
It is not an unprimeable number, because it can be changed into a prime (2345826569) 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, 254712 + ... + 263760.
Almost surely, 22345826564 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 2345826564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129490000).
2345826564 is an abundant number, since it is smaller than the sum of its proper divisors (3913153436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345826564 is a wasteful number, since it uses less digits than its factorization.
2345826564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9457 (or 9452 counting only the distinct ones).
The product of its digits is 1382400, while the sum is 45.
The square root of 2345826564 is about 48433.7337400288. The cubic root of 2345826564 is about 1328.7153940815.
The spelling of 2345826564 in words is "two billion, three hundred forty-five million, eight hundred twenty-six thousand, five hundred sixty-four".
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