Base | Representation |
---|---|
bin | 10110110001101… |
… | …110110000000000 |
3 | 222122001111002010 |
4 | 112301232300000 |
5 | 1240311312141 |
6 | 101530252520 |
7 | 12320045034 |
oct | 2661566000 |
9 | 878044063 |
10 | 382135296 |
11 | 1867839a4 |
12 | a7b87140 |
13 | 6122807a |
14 | 38a741c4 |
15 | 23835416 |
hex | 16c6ec00 |
382135296 has 88 divisors (see below), whose sum is σ = 1072300480. Its totient is φ = 120655872.
The previous prime is 382135289. The next prime is 382135309. The reversal of 382135296 is 692531283.
382135296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55095 + ... + 61641.
Almost surely, 2382135296 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 382135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536150240).
382135296 is an abundant number, since it is smaller than the sum of its proper divisors (690165184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382135296 is a wasteful number, since it uses less digits than its factorization.
382135296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6589 (or 6571 counting only the distinct ones).
The product of its digits is 77760, while the sum is 39.
The square root of 382135296 is about 19548.2811520604. The cubic root of 382135296 is about 725.6698025635.
The spelling of 382135296 in words is "three hundred eighty-two million, one hundred thirty-five thousand, two hundred ninety-six".
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