Base | Representation |
---|---|
bin | 10110110100101… |
… | …100111000000000 |
3 | 222200112001022210 |
4 | 112310230320000 |
5 | 1241011222143 |
6 | 101555102120 |
7 | 12326500326 |
oct | 2664547000 |
9 | 880461283 |
10 | 382914048 |
11 | 187165aa0 |
12 | a82a1940 |
13 | 6143b67a |
14 | 38bd7d16 |
15 | 2393b033 |
hex | 16d2ce00 |
382914048 has 160 divisors (see below), whose sum is σ = 1127820672. Its totient is φ = 114483200.
The previous prime is 382914023. The next prime is 382914079. The reversal of 382914048 is 840419283.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 382913997 and 382914015.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213290 + ... + 2213462.
Almost surely, 2382914048 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 382914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563910336).
382914048 is an abundant number, since it is smaller than the sum of its proper divisors (744906624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382914048 is a wasteful number, since it uses less digits than its factorization.
382914048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 336 (or 320 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 39.
The square root of 382914048 is about 19568.1896965458. The cubic root of 382914048 is about 726.1624146191.
The spelling of 382914048 in words is "three hundred eighty-two million, nine hundred fourteen thousand, forty-eight".
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