Base | Representation |
---|---|
bin | 11100010111110… |
… | …11010001010000 |
3 | 121120212000202000 |
4 | 32023323101100 |
5 | 441412214001 |
6 | 35341154000 |
7 | 5620013025 |
oct | 1613732120 |
9 | 546760660 |
10 | 238007376 |
11 | 112392512 |
12 | 6785b900 |
13 | 3a403b89 |
14 | 2387754c |
15 | 15d65a86 |
hex | e2fb450 |
238007376 has 160 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 74183040.
The previous prime is 238007359. The next prime is 238007377. The reversal of 238007376 is 673700832.
238007376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2380073762 = 113295022060810752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 238007376.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (238007377) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878121 + ... + 878391.
It is an arithmetic number, because the mean of its divisors is an integer number (4553280).
Almost surely, 2238007376 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 238007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).
238007376 is an abundant number, since it is smaller than the sum of its proper divisors (490517424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238007376 is a wasteful number, since it uses less digits than its factorization.
238007376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 414 (or 402 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The square root of 238007376 is about 15427.4876762226. The cubic root of 238007376 is about 619.7218453983.
The spelling of 238007376 in words is "two hundred thirty-eight million, seven thousand, three hundred seventy-six".
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