Base | Representation |
---|---|
bin | 11010000110100000000000 |
3 | 110212121222001 |
4 | 122012200000 |
5 | 3222423433 |
6 | 402353344 |
7 | 112105411 |
oct | 32064000 |
9 | 13777861 |
10 | 6842368 |
11 | 3953855 |
12 | 235b854 |
13 | 1557550 |
14 | ca1808 |
15 | 90257d |
hex | 686800 |
6842368 has 48 divisors (see below), whose sum is σ = 14791140. Its totient is φ = 3145728.
The previous prime is 6842359. The next prime is 6842369. The reversal of 6842368 is 8632486.
It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 123904 = 2592^2 + 352^2 .
It is not an unprimeable number, because it can be changed into a prime (6842369) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26496 + ... + 26752.
Almost surely, 26842368 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 6842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395570).
6842368 is an abundant number, since it is smaller than the sum of its proper divisors (7948772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6842368 is a wasteful number, since it uses less digits than its factorization.
6842368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 292 (or 272 counting only the distinct ones).
The product of its digits is 55296, while the sum is 37.
The square root of 6842368 is about 2615.7920406638. The cubic root of 6842368 is about 189.8463022948.
It can be divided in two parts, 68 and 42368, that added together give a square (42436 = 2062).
The spelling of 6842368 in words is "six million, eight hundred forty-two thousand, three hundred sixty-eight".
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