| Base | Representation |
|---|---|
| bin | 1000101001001111… |
| … | …1111100000000000 |
| 3 | 12222201102102222000 |
| 4 | 2022103333200000 |
| 5 | 14223021343030 |
| 6 | 1022132144000 |
| 7 | 111334616220 |
| oct | 21223774000 |
| 9 | 5881372860 |
| 10 | 2320496640 |
| 11 | a90950520 |
| 12 | 549168000 |
| 13 | 2ac9a0647 |
| 14 | 180286080 |
| 15 | d8abe860 |
| hex | 8a4ff800 |
2320496640 has 768 divisors, whose sum is σ = 10378368000. Its totient is φ = 477757440.
The previous prime is 2320496623. The next prime is 2320496681. The reversal of 2320496640 is 466940232.
2320496640 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 4 + 9 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2320496595 and 2320496604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288906 + ... + 21289014.
It is an arithmetic number, because the mean of its divisors is an integer number (13513500).
Almost surely, 22320496640 is an apocalyptic number.
2320496640 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 2320496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184000).
2320496640 is an abundant number, since it is smaller than the sum of its proper divisors (8057871360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320496640 is a wasteful number, since it uses less digits than its factorization.
2320496640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 2320496640 is about 48171.5335026819. The cubic root of 2320496640 is about 1323.9156458764.
The spelling of 2320496640 in words is "two billion, three hundred twenty million, four hundred ninety-six thousand, six hundred forty".
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