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4404334424 = 237231596143
BaseRepresentation
bin1000001101000010…
…01100111101011000
3102100221112101000012
410012201030331120
533010002200144
62005012101052
7214100140100
oct40641147530
912327471005
104404334424
11196014a706
12a2b004788
1355261cb59
142dad26200
151ab9e2e9e
hex10684cf58

4404334424 has 96 divisors (see below), whose sum is σ = 10085990400. Its totient is φ = 1795429440.

The previous prime is 4404334411. The next prime is 4404334427. The reversal of 4404334424 is 4244334044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404334427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713897 + ... + 720039.

It is an arithmetic number, because the mean of its divisors is an integer number (105062400).

Almost surely, 24404334424 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 4404334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042995200).

4404334424 is an abundant number, since it is smaller than the sum of its proper divisors (5681655976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4404334424 is a wasteful number, since it uses less digits than its factorization.

4404334424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The square root of 4404334424 is about 66365.1597150191. The cubic root of 4404334424 is about 1639.1804382160.

Adding to 4404334424 its reverse (4244334044), we get a palindrome (8648668468).

The spelling of 4404334424 in words is "four billion, four hundred four million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 59 62 98 118 124 196 217 236 248 392 413 434 472 826 868 1519 1652 1736 1829 2891 3038 3304 3658 5782 6076 6143 7316 11564 12152 12286 12803 14632 23128 24572 25606 43001 49144 51212 86002 89621 102424 172004 179242 190433 301007 344008 358484 362437 380866 602014 716968 724874 761732 1204028 1333031 1449748 1523464 2408056 2537059 2666062 2899496 5074118 5332124 9331217 10148236 10664248 11235547 17759413 18662434 20296472 22471094 35518826 37324868 44942188 71037652 74649736 78648829 89884376 142075304 157297658 314595316 550541803 629190632 1101083606 2202167212 4404334424