Search a number
-
+
441397044 = 22321117173379
BaseRepresentation
bin11010010011110…
…010111100110100
31010202120021220200
4122103302330310
51400444201134
6111444400500
713636545564
oct3223627464
91122507820
10441397044
11207180150
121039a6130
13705a6caa
144289cda4
1528b3e499
hex1a4f2f34

441397044 has 144 divisors (see below), whose sum is σ = 1299654720. Its totient is φ = 124830720.

The previous prime is 441396997. The next prime is 441397049. The reversal of 441397044 is 440793144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441397049) 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, 1164447 + ... + 1164825.

It is an arithmetic number, because the mean of its divisors is an integer number (9025380).

Almost surely, 2441397044 is an apocalyptic number.

441397044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441397044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649827360).

441397044 is an abundant number, since it is smaller than the sum of its proper divisors (858257676).

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

441397044 is a wasteful number, since it uses less digits than its factorization.

441397044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 441397044 is about 21009.4513017356. The cubic root of 441397044 is about 761.3946253080.

The spelling of 441397044 in words is "four hundred forty-one million, three hundred ninety-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 173 187 198 204 306 346 374 379 396 519 561 612 692 748 758 1038 1122 1137 1516 1557 1683 1903 2076 2244 2274 2941 3114 3366 3411 3806 4169 4548 5709 5882 6228 6443 6732 6822 7612 8338 8823 11418 11764 12507 12886 13644 16676 17127 17646 19329 22836 25014 25772 26469 32351 34254 35292 37521 38658 50028 52938 57987 64702 65567 68508 70873 75042 77316 97053 105876 115974 129404 131134 141746 150084 194106 196701 212619 231948 262268 283492 291159 388212 393402 425238 582318 590103 637857 721237 786804 850476 1114639 1164636 1180206 1275714 1442474 2163711 2229278 2360412 2551428 2884948 3343917 4327422 4458556 6491133 6687834 8654844 10031751 12261029 12982266 13375668 20063502 24522058 25964532 36783087 40127004 49044116 73566174 110349261 147132348 220698522 441397044