| Base | Representation |
|---|---|
| bin | 10011100101101… |
| … | …10110110010000 |
| 3 | 102110012122222210 |
| 4 | 21302312312100 |
| 5 | 314031424200 |
| 6 | 24150032120 |
| 7 | 4033516611 |
| oct | 1162666620 |
| 9 | 373178883 |
| 10 | 164326800 |
| 11 | 84838180 |
| 12 | 47048640 |
| 13 | 28076cc1 |
| 14 | 17b77c08 |
| 15 | e65e650 |
| hex | 9cb6d90 |
164326800 has 240 divisors, whose sum is σ = 586748160. Its totient is φ = 38976000.
The previous prime is 164326787. The next prime is 164326843. The reversal of 164326800 is 8623461.
164326800 is digitally balanced in base 2, 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 (240).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778695 + ... + 778905.
It is an arithmetic number, because the mean of its divisors is an integer number (2444784).
Almost surely, 2164326800 is an apocalyptic number.
164326800 is a gapful number since it is divisible by the number (10) 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 164326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293374080).
164326800 is an abundant number, since it is smaller than the sum of its proper divisors (422421360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164326800 is a wasteful number, since it uses less digits than its factorization.
164326800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 164326800 is about 12819.0015211794. The cubic root of 164326800 is about 547.7337047766.
It can be divided in two parts, 16432 and 6800, that added together give a palindrome (23232).
The spelling of 164326800 in words is "one hundred sixty-four million, three hundred twenty-six thousand, eight hundred".
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