Search a number
-
+
441043002 = 233174311173
BaseRepresentation
bin11010010010011…
…100100000111010
31010201220022021000
4122102130200322
51400401334002
6111433025430
713633542441
oct3222344072
91121808230
10441043002
11206a59154
12103855276
13704b1aba
1442809d58
1528abe61c
hex1a49c83a

441043002 has 64 divisors (see below), whose sum is σ = 1061976960. Its totient is φ = 135136512.

The previous prime is 441042989. The next prime is 441043007. The reversal of 441043002 is 200340144.

It is a super-2 number, since 2×4410430022 = 389037859226344008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (441043007) 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 31 ways as a sum of consecutive naturals, for example, 33888 + ... + 45060.

It is an arithmetic number, because the mean of its divisors is an integer number (16593390).

Almost surely, 2441043002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441043002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530988480).

441043002 is an abundant number, since it is smaller than the sum of its proper divisors (620933958).

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

441043002 is a wasteful number, since it uses less digits than its factorization.

441043002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 441043002 is about 21001.0238321849. The cubic root of 441043002 is about 761.1910007904.

Adding to 441043002 its reverse (200340144), we get a palindrome (641383146).

The spelling of 441043002 in words is "four hundred forty-one million, forty-three thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 4386 6579 11173 13158 19737 22346 33519 39474 67038 100557 189941 201114 301671 379882 480439 569823 603342 960878 1139646 1441317 1709469 2882634 3418938 4323951 5128407 8167463 8647902 10256814 12971853 16334926 24502389 25943706 49004778 73507167 147014334 220521501 441043002