Search a number
-
+
2444311002 = 237231269997
BaseRepresentation
bin1001000110110001…
…0011100111011010
320022100101212100010
42101230103213122
520001220423002
61042314022350
7114400205100
oct22154234732
96270355303
102444311002
111044828041
125827179b6
132cc531793
141928b5c70
15e48ca46c
hex91b139da

2444311002 has 96 divisors (see below), whose sum is σ = 5897940480. Its totient is φ = 672658560.

The previous prime is 2444310991. The next prime is 2444311003. The reversal of 2444311002 is 2001134442.

2444311002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2444311002.

It is not an unprimeable number, because it can be changed into a prime (2444311003) 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, 2451168 + ... + 2452164.

It is an arithmetic number, because the mean of its divisors is an integer number (61436880).

Almost surely, 22444311002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444311002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948970240).

2444311002 is an abundant number, since it is smaller than the sum of its proper divisors (3453629478).

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

2444311002 is a wasteful number, since it uses less digits than its factorization.

2444311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2444311002 is about 49439.9737257212. The cubic root of 2444311002 is about 1347.0554940213.

Adding to 2444311002 its reverse (2001134442), we get a palindrome (4445445444).

The spelling of 2444311002 in words is "two billion, four hundred forty-four million, three hundred eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 269 294 434 538 651 807 997 1302 1519 1614 1883 1994 2991 3038 3766 4557 5649 5982 6979 8339 9114 11298 13181 13958 16678 20937 25017 26362 30907 39543 41874 48853 50034 58373 61814 79086 92721 97706 116746 146559 175119 185442 216349 268193 293118 350238 408611 432698 536386 649047 804579 817222 1225833 1298094 1514443 1609158 1877351 2451666 3028886 3754702 4543329 5632053 8313983 9086658 11264106 13141457 16627966 24941949 26282914 39424371 49883898 58197881 78848742 116395762 174593643 349187286 407385167 814770334 1222155501 2444311002