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4404404340 = 22325731711027
BaseRepresentation
bin1000001101000010…
…11110000001110100
3102100221122220220200
410012201132001310
533010011414330
62005013400500
7214100550660
oct40641360164
912327586820
104404404340
111960198196
12a2b039130
1355264591b
142dad438a0
151aba08a60
hex10685e074

4404404340 has 144 divisors (see below), whose sum is σ = 15318156672. Its totient is φ = 1003454208.

The previous prime is 4404404327. The next prime is 4404404341. The reversal of 4404404340 is 434044044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404404341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393907 + ... + 404933.

It is an arithmetic number, because the mean of its divisors is an integer number (106376088).

Almost surely, 24404404340 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 4404404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659078336).

4404404340 is an abundant number, since it is smaller than the sum of its proper divisors (10913752332).

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

4404404340 is a wasteful number, since it uses less digits than its factorization.

4404404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4404404340 is about 66365.6864652209. The cubic root of 4404404340 is about 1639.1891118181.

Adding to 4404404340 its reverse (434044044), we get a palindrome (4838448384).

The spelling of 4404404340 in words is "four billion, four hundred four million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 317 420 630 634 951 1260 1268 1585 1902 2219 2853 3170 3804 4438 4755 5706 6340 6657 8876 9510 11027 11095 11412 13314 14265 19020 19971 22054 22190 26628 28530 33081 33285 39942 44108 44380 55135 57060 66162 66570 77189 79884 99243 99855 110270 132324 133140 154378 165405 198486 199710 220540 231567 308756 330810 385945 396972 399420 463134 496215 661620 694701 771890 926268 992430 1157835 1389402 1543780 1984860 2315670 2778804 3473505 3495559 4631340 6947010 6991118 10486677 13894020 13982236 17477795 20973354 24468913 31460031 34955590 41946708 48937826 52433385 62920062 69911180 73406739 97875652 104866770 122344565 125840124 146813478 157300155 209733540 220220217 244689130 293626956 314600310 367033695 440440434 489378260 629200620 734067390 880880868 1101101085 1468134780 2202202170 4404404340