| Base | Representation |
|---|---|
| bin | 10101101101001… |
| … | …101001111100000 |
| 3 | 221101020212102100 |
| 4 | 111231031033200 |
| 5 | 1221212003011 |
| 6 | 100045250400 |
| 7 | 12011261460 |
| oct | 2555151740 |
| 9 | 841225370 |
| 10 | 364172256 |
| 11 | 177625008 |
| 12 | a1b63a00 |
| 13 | 5a5a8b56 |
| 14 | 36519ba0 |
| 15 | 21e87d56 |
| hex | 15b4d3e0 |
364172256 has 144 divisors (see below), whose sum is σ = 1224568800. Its totient is φ = 100445184.
The previous prime is 364172201. The next prime is 364172267. The reversal of 364172256 is 652271463.
364172256 is a `hidden beast` number, since 3 + 641 + 7 + 2 + 2 + 5 + 6 = 666.
364172256 is digitally balanced in base 3, 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 364172256.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55350 + ... + 61578.
It is an arithmetic number, because the mean of its divisors is an integer number (8503950).
Almost surely, 2364172256 is an apocalyptic number.
364172256 is a gapful number since it is divisible by the number (36) 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 364172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612284400).
364172256 is an abundant number, since it is smaller than the sum of its proper divisors (860396544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
364172256 is a wasteful number, since it uses less digits than its factorization.
364172256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6281 (or 6270 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The square root of 364172256 is about 19083.2978282057. The cubic root of 364172256 is about 714.1163099367.
The spelling of 364172256 in words is "three hundred sixty-four million, one hundred seventy-two thousand, two hundred fifty-six".
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