Base | Representation |
---|---|
bin | 1011101010000110000 |
3 | 201102000011 |
4 | 1131100300 |
5 | 44211000 |
6 | 12104304 |
7 | 3150463 |
oct | 1352060 |
9 | 642004 |
10 | 382000 |
11 | 241003 |
12 | 165094 |
13 | 104b48 |
14 | 9d2da |
15 | 782ba |
hex | 5d430 |
382000 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 152000.
The previous prime is 381991. The next prime is 382001. The reversal of 382000 is 283.
It is a tau number, because it is divible by the number of its divisors (40).
It is a nialpdrome in base 5.
It is not an unprimeable number, because it can be changed into a prime (382001) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905 + ... + 2095.
2382000 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 382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).
382000 is an abundant number, since it is smaller than the sum of its proper divisors (546512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382000 is a wasteful number, since it uses less digits than its factorization.
382000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 214 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 382000 is about 618.0614856145. The cubic root of 382000 is about 72.5584150691.
Adding to 382000 its reverse (283), we get a palindrome (382283).
The spelling of 382000 in words is "three hundred eighty-two thousand".
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