Search a number
-
+
441342304 = 25131723671
BaseRepresentation
bin11010010011100…
…101100101100000
31010202110111211021
4122103211211200
51400440423204
6111443255224
713636230154
oct3223454540
91122414737
10441342304
11207143007
1210397a514
13705880c0
1442887064
1528b2d154
hex1a4e5960

441342304 has 72 divisors (see below), whose sum is σ = 994282128. Its totient is φ = 191662080.

The previous prime is 441342247. The next prime is 441342313. The reversal of 441342304 is 403243144.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 118389 + ... + 122059.

It is an arithmetic number, because the mean of its divisors is an integer number (13809474).

Almost surely, 2441342304 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 441342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497141064).

441342304 is an abundant number, since it is smaller than the sum of its proper divisors (552939824).

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

441342304 is a wasteful number, since it uses less digits than its factorization.

441342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 441342304 is about 21008.1485143265. The cubic root of 441342304 is about 761.3631491382.

Adding to 441342304 its reverse (403243144), we get a palindrome (844585448).

The spelling of 441342304 in words is "four hundred forty-one million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3671 3757 4624 7072 7342 7514 9248 14684 15028 29368 30056 47723 58736 60112 62407 95446 117472 120224 124814 190892 249628 381784 499256 763568 811291 998512 1060919 1527136 1622582 1997024 2121838 3245164 4243676 6490328 8487352 12980656 13791947 16974704 25961312 27583894 33949408 55167788 110335576 220671152 441342304