Search a number
-
+
440244324 = 22321322692
BaseRepresentation
bin11010001111011…
…001100001100100
31010200101201200100
4122033121201210
51400200304244
6111403544100
713624005102
oct3217314144
91120351610
10440244324
11206563093
1210352b030
1370292400
144267cc72
15289b2b69
hex1a3d9864

440244324 has 81 divisors (see below), whose sum is σ = 1209524043. Its totient is φ = 134956224.

The previous prime is 440244313. The next prime is 440244349. The reversal of 440244324 is 423442044.

It is a happy number.

The square root of 440244324 is 20982.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 277222500 + 163021824 = 16650^2 + 12768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1636462 + ... + 1636730.

Almost surely, 2440244324 is an apocalyptic number.

440244324 is the 20982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440244324

440244324 is an abundant number, since it is smaller than the sum of its proper divisors (769279719).

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

440244324 is a wasteful number, since it uses less digits than its factorization.

440244324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

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

The cubic root of 440244324 is about 760.7312467931.

Adding to 440244324 its reverse (423442044), we get a palindrome (863686368).

The spelling of 440244324 in words is "four hundred forty million, two hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 269 338 468 507 538 676 807 1014 1076 1521 1614 2028 2421 3042 3228 3497 4842 6084 6994 9684 10491 13988 20982 31473 41964 45461 62946 72361 90922 125892 136383 144722 181844 217083 272766 289444 409149 434166 545532 651249 818298 868332 940693 1302498 1636596 1881386 2604996 2822079 3762772 5644158 8466237 11288316 12229009 16932474 24458018 33864948 36687027 48916036 73374054 110061081 146748108 220122162 440244324