| Base | Representation |
|---|---|
| bin | 100110010110101… |
| … | …000000011100000 |
| 3 | 1122211210102122100 |
| 4 | 212112220003200 |
| 5 | 2304211343230 |
| 6 | 143503410400 |
| 7 | 21642236352 |
| oct | 4626500340 |
| 9 | 1584712570 |
| 10 | 643465440 |
| 11 | 300246122 |
| 12 | 15b5b3a00 |
| 13 | a34068a7 |
| 14 | 6165d0d2 |
| 15 | 3b756660 |
| hex | 265a80e0 |
643465440 has 144 divisors (see below), whose sum is σ = 2211300000. Its totient is φ = 170382336.
The previous prime is 643465397. The next prime is 643465447. The reversal of 643465440 is 44564346.
643465440 is a `hidden beast` number, since 643 + 4 + 6 + 5 + 4 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 643465395 and 643465404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (643465447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213061 + ... + 216059.
It is an arithmetic number, because the mean of its divisors is an integer number (15356250).
Almost surely, 2643465440 is an apocalyptic number.
643465440 is a gapful number since it is divisible by the number (60) 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 643465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105650000).
643465440 is an abundant number, since it is smaller than the sum of its proper divisors (1567834560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
643465440 is a wasteful number, since it uses less digits than its factorization.
643465440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3169 (or 3158 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The square root of 643465440 is about 25366.6205869051. The cubic root of 643465440 is about 863.3265070378.
The spelling of 643465440 in words is "six hundred forty-three million, four hundred sixty-five thousand, four hundred forty".
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