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4244334424 = 231129114813
BaseRepresentation
bin1111110011111011…
…0110011101011000
3101221210110112021021
43330332312131120
532143022200144
61541054452224
7210115150561
oct37476663530
911853415237
104244334424
1118888a8300
129a5504074
1352842c3b5
142c3997168
1519c93a884
hexfcfb6758

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".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 911 968 1822 3644 4813 7288 9626 10021 19252 20042 38504 40084 52943 80168 105886 110231 211772 220462 423544 440924 582373 881848 1164746 2329492 4384643 4658984 8769286 17538572 35077144 48231073 96462146 192924292 385848584 530541803 1061083606 2122167212 4244334424