Base | Representation |
---|---|
bin | 11100011001001… |
… | …01101111010000 |
3 | 121121011212100200 |
4 | 32030211233100 |
5 | 441433300303 |
6 | 35345015200 |
7 | 5621336130 |
oct | 1614455720 |
9 | 547155320 |
10 | 238181328 |
11 | 1124a1180 |
12 | 67924500 |
13 | 3a4650c8 |
14 | 238c0ac0 |
15 | 15d9c3a3 |
hex | e325bd0 |
238181328 has 120 divisors (see below), whose sum is σ = 831095616. Its totient is φ = 61862400.
The previous prime is 238181327. The next prime is 238181347. The reversal of 238181328 is 823181832.
238181328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 238181292 and 238181301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (238181323) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348 + ... + 21828.
Almost surely, 2238181328 is an apocalyptic number.
238181328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 238181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415547808).
238181328 is an abundant number, since it is smaller than the sum of its proper divisors (592914288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238181328 is a wasteful number, since it uses less digits than its factorization.
238181328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21513 (or 21504 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 238181328 is about 15433.1243758352. The cubic root of 238181328 is about 619.8727869419.
The spelling of 238181328 in words is "two hundred thirty-eight million, one hundred eighty-one thousand, three hundred twenty-eight".
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