| Base | Representation |
|---|---|
| bin | 1011110100010001… |
| … | …11000000100000100 |
| 3 | 121101010120101221100 |
| 4 | 11322020320010010 |
| 5 | 100443043130221 |
| 6 | 2525304220100 |
| 7 | 313133040312 |
| oct | 57210700404 |
| 9 | 17333511840 |
| 10 | 6344114436 |
| 11 | 27660a6090 |
| 12 | 129076a630 |
| 13 | 7a147108a |
| 14 | 4427c70b2 |
| 15 | 271e5c926 |
| hex | 17a238104 |
6344114436 has 144 divisors (see below), whose sum is σ = 17891729856. Its totient is φ = 1879200000.
The previous prime is 6344114431. The next prime is 6344114467.
6344114436 is a `hidden beast` number, since 634 + 4 + 1 + 14 + 4 + 3 + 6 = 666.
6344114436 is nontrivially palindromic in base 10.
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.
It is a self number, because there is not a number n which added to its sum of digits gives 6344114436.
It is not an unprimeable number, because it can be changed into a prime (6344114431) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371511 + ... + 4372961.
It is an arithmetic number, because the mean of its divisors is an integer number (124248124).
Almost surely, 26344114436 is an apocalyptic number.
6344114436 is a gapful number since it is divisible by the number (66) 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 6344114436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945864928).
6344114436 is an abundant number, since it is smaller than the sum of its proper divisors (11547615420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6344114436 is a wasteful number, since it uses less digits than its factorization.
6344114436 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1714 (or 1709 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 6344114436 is about 79649.9493785150. The cubic root of 6344114436 is about 1851.2156058420.
It can be divided in two parts, 63441 and 14436, that added together give a palindrome (77877).
The spelling of 6344114436 in words is "six billion, three hundred forty-four million, one hundred fourteen thousand, four hundred thirty-six".
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