Base | Representation |
---|---|
bin | 11100011110001… |
… | …10011111000000 |
3 | 121122102022112110 |
4 | 32033012133000 |
5 | 442120332434 |
6 | 35411055320 |
7 | 5630050533 |
oct | 1617063700 |
9 | 548368473 |
10 | 238839744 |
11 | 112900920 |
12 | 67ba1540 |
13 | 3a6359c0 |
14 | 23a12a1a |
15 | 15e7c4e9 |
hex | e3c67c0 |
238839744 has 112 divisors (see below), whose sum is σ = 742492800. Its totient is φ = 66800640.
The previous prime is 238839707. The next prime is 238839767. The reversal of 238839744 is 447938832.
238839744 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 (48).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 238839693 and 238839702.
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, 23107 + ... + 31805.
It is an arithmetic number, because the mean of its divisors is an integer number (6629400).
Almost surely, 2238839744 is an apocalyptic number.
238839744 is a gapful number since it is divisible by the number (24) 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 238839744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371246400).
238839744 is an abundant number, since it is smaller than the sum of its proper divisors (503653056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238839744 is a wasteful number, since it uses less digits than its factorization.
238839744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8738 (or 8728 counting only the distinct ones).
The product of its digits is 1161216, while the sum is 48.
The square root of 238839744 is about 15454.4409151545. The cubic root of 238839744 is about 620.4434427330.
The spelling of 238839744 in words is "two hundred thirty-eight million, eight hundred thirty-nine thousand, seven hundred forty-four".
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