Base | Representation |
---|---|
bin | 1001000111011… |
… | …1110001110000 |
3 | 2122221202112000 |
4 | 2101313301300 |
5 | 34242124334 |
6 | 3443334000 |
7 | 643012653 |
oct | 221676160 |
9 | 78852460 |
10 | 38239344 |
11 | 1a648870 |
12 | 10981300 |
13 | 7bcb340 |
14 | 511589a |
15 | 3555299 |
hex | 2477c70 |
38239344 has 160 divisors (see below), whose sum is σ = 129158400. Its totient is φ = 10679040.
The previous prime is 38239321. The next prime is 38239351. The reversal of 38239344 is 44393283.
It is a happy number.
38239344 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.
Its product of digits (62208) is a multiple of the sum of its prime divisors (648).
It is a junction number, because it is equal to n+sod(n) for n = 38239299 and 38239308.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61467 + ... + 62085.
It is an arithmetic number, because the mean of its divisors is an integer number (807240).
Almost surely, 238239344 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 38239344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579200).
38239344 is an abundant number, since it is smaller than the sum of its proper divisors (90919056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38239344 is a wasteful number, since it uses less digits than its factorization.
38239344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 660 (or 648 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 38239344 is about 6183.7968918780. The cubic root of 38239344 is about 336.9019135919.
It can be divided in two parts, 38239 and 344, that added together give a palindrome (38583).
The spelling of 38239344 in words is "thirty-eight million, two hundred thirty-nine thousand, three hundred forty-four".
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