| Base | Representation |
|---|---|
| bin | 100110001110111… |
| … | …111100000000000 |
| 3 | 1122201000202121210 |
| 4 | 212032333200000 |
| 5 | 2303203324240 |
| 6 | 143352450120 |
| 7 | 21616233240 |
| oct | 4616774000 |
| 9 | 1581022553 |
| 10 | 641464320 |
| 11 | 2aa0a9702 |
| 12 | 15a9a9940 |
| 13 | a2b85ab3 |
| 14 | 6129bb20 |
| 15 | 3b4ad780 |
| hex | 263bf800 |
641464320 has 384 divisors, whose sum is σ = 2484518400. Its totient is φ = 138018816.
The previous prime is 641464267. The next prime is 641464333. The reversal of 641464320 is 23464146.
641464320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×6414643202 = 822952947666124800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
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 31 ways as a sum of consecutive naturals, for example, 4085682 + ... + 4085838.
It is an arithmetic number, because the mean of its divisors is an integer number (6470100).
Almost surely, 2641464320 is an apocalyptic number.
641464320 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 641464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242259200).
641464320 is an abundant number, since it is smaller than the sum of its proper divisors (1843054080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
641464320 is a wasteful number, since it uses less digits than its factorization.
641464320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 213 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
The square root of 641464320 is about 25327.1459110576. The cubic root of 641464320 is about 862.4306215986.
The spelling of 641464320 in words is "six hundred forty-one million, four hundred sixty-four thousand, three hundred twenty".
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