Base | Representation |
---|---|
bin | 1001000111100… |
… | …0110000000000 |
3 | 2122221221222120 |
4 | 2101320300000 |
5 | 34242241303 |
6 | 3443404240 |
7 | 643030404 |
oct | 221706000 |
9 | 78857876 |
10 | 38243328 |
11 | 1a650862 |
12 | 10983680 |
13 | 7c000b6 |
14 | 5117104 |
15 | 3556553 |
hex | 2478c00 |
38243328 has 88 divisors (see below), whose sum is σ = 104151360. Its totient is φ = 12472320.
The previous prime is 38243327. The next prime is 38243351. The reversal of 38243328 is 82334283.
38243328 is nontrivially palindromic in base 15.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (38243321) 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, 181143 + ... + 181353.
Almost surely, 238243328 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 38243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52075680).
38243328 is an abundant number, since it is smaller than the sum of its proper divisors (65908032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38243328 is a wasteful number, since it uses less digits than its factorization.
38243328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 293 (or 275 counting only the distinct ones).
The product of its digits is 27648, while the sum is 33.
The square root of 38243328 is about 6184.1190156723. The cubic root of 38243328 is about 336.9136133273.
The spelling of 38243328 in words is "thirty-eight million, two hundred forty-three thousand, three hundred twenty-eight".
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