Base | Representation |
---|---|
bin | 11000100001001011010000 |
3 | 110002112122210 |
4 | 120201023100 |
5 | 3121133334 |
6 | 345432120 |
7 | 105426420 |
oct | 30411320 |
9 | 13075583 |
10 | 6427344 |
11 | 369aa60 |
12 | 219b640 |
13 | 1440681 |
14 | bd4480 |
15 | 86e5e9 |
hex | 6212d0 |
6427344 has 160 divisors (see below), whose sum is σ = 21712896. Its totient is φ = 1589760.
The previous prime is 6427331. The next prime is 6427349. The reversal of 6427344 is 4437246.
It is a nude number because it is divisible by every one of its digits.
It is a d-powerful number, because it can be written as 6 + 4 + 217 + 78 + 312 + 4 + 42 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6427349) 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, 136729 + ... + 136775.
Almost surely, 26427344 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 6427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448).
6427344 is an abundant number, since it is smaller than the sum of its proper divisors (15285552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6427344 is a wasteful number, since it uses less digits than its factorization.
6427344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113 (or 107 counting only the distinct ones).
The product of its digits is 16128, while the sum is 30.
The square root of 6427344 is about 2535.2207004519. The cubic root of 6427344 is about 185.9275935075.
It can be divided in two parts, 6 and 427344, that added together give a triangular number (427350 = T924).
The spelling of 6427344 in words is "six million, four hundred twenty-seven thousand, three hundred forty-four".
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