Base | Representation |
---|---|
bin | 10110110100011… |
… | …111010010000000 |
3 | 222200102012221120 |
4 | 112310133102000 |
5 | 1241002431433 |
6 | 101553552240 |
7 | 12326146104 |
oct | 2664372200 |
9 | 880365846 |
10 | 382858368 |
11 | 187128182 |
12 | a8275680 |
13 | 6141c219 |
14 | 38bc1904 |
15 | 239297b3 |
hex | 16d1f480 |
382858368 has 128 divisors (see below), whose sum is σ = 1078686720. Its totient is φ = 120062976.
The previous prime is 382858367. The next prime is 382858393. The reversal of 382858368 is 863858283.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 382858368.
It is not an unprimeable number, because it can be changed into a prime (382858367) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 591421 + ... + 592067.
It is an arithmetic number, because the mean of its divisors is an integer number (8427240).
Almost surely, 2382858368 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 382858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).
382858368 is an abundant number, since it is smaller than the sum of its proper divisors (695828352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382858368 is a wasteful number, since it uses less digits than its factorization.
382858368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 754 (or 742 counting only the distinct ones).
The product of its digits is 2211840, while the sum is 51.
The square root of 382858368 is about 19566.7669276250. The cubic root of 382858368 is about 726.1272155247.
The spelling of 382858368 in words is "three hundred eighty-two million, eight hundred fifty-eight thousand, three hundred sixty-eight".
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