Base | Representation |
---|---|
bin | 1111110011111011… |
… | …0110011101011000 |
3 | 101221210110112021021 |
4 | 3330332312131120 |
5 | 32143022200144 |
6 | 1541054452224 |
7 | 210115150561 |
oct | 37476663530 |
9 | 11853415237 |
10 | 4244334424 |
11 | 18888a8300 |
12 | 9a5504074 |
13 | 52842c3b5 |
14 | 2c3997168 |
15 | 19c93a884 |
hex | fcfb6758 |
4244334424 has 48 divisors (see below), whose sum is σ = 8758784160. Its totient is φ = 1926724800.
The previous prime is 4244334421. The next prime is 4244334431.
4244334424 is nontrivially palindromic in base 10.
It is a super-4 number, since 4×42443344244 (a number of 40 digits) contains 4444 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 4244334424.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4244334421) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879442 + ... + 884254.
It is an arithmetic number, because the mean of its divisors is an integer number (182474670).
Almost surely, 24244334424 is an apocalyptic number.
4244334424 is a gapful number since it is divisible by the number (44) 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 4244334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379392080).
4244334424 is an abundant number, since it is smaller than the sum of its proper divisors (4514449736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4244334424 is a wasteful number, since it uses less digits than its factorization.
4244334424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5752 (or 5737 counting only the distinct ones).
The product of its digits is 147456, while the sum is 34.
The square root of 4244334424 is about 65148.5565764891. The cubic root of 4244334424 is about 1619.0858053918.
It can be divided in two parts, 42443 and 34424, that added together give a palindrome (76867).
The spelling of 4244334424 in words is "four billion, two hundred forty-four million, three hundred thirty-four thousand, four hundred twenty-four".
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