Search a number
-
+
244642332 = 22311472839
BaseRepresentation
bin11101001010011…
…11001000011100
3122001100010012010
432211033020130
51000112023312
640135311220
76030265644
oct1645171034
9561303163
10244642332
11116104450
1269b1b510
133b8b7b9c
14246c3524
151672693c
hexe94f21c

244642332 has 72 divisors (see below), whose sum is σ = 637015680. Its totient is φ = 72470240.

The previous prime is 244642273. The next prime is 244642397. The reversal of 244642332 is 233246442.

244642332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 244642332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291169 + ... + 292007.

It is an arithmetic number, because the mean of its divisors is an integer number (8847440).

Almost surely, 2244642332 is an apocalyptic number.

244642332 is a gapful number since it is divisible by the number (22) 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 244642332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318507840).

244642332 is an abundant number, since it is smaller than the sum of its proper divisors (392373348).

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

244642332 is a wasteful number, since it uses less digits than its factorization.

244642332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 902 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 244642332 is about 15641.0463844335. The cubic root of 244642332 is about 625.4278303777.

Adding to 244642332 its reverse (233246442), we get a palindrome (477888774).

It can be divided in two parts, 24464 and 2332, that added together give a triangular number (26796 = T231).

The spelling of 244642332 in words is "two hundred forty-four million, six hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 839 1034 1551 1678 2068 2209 2517 3102 3356 4418 5034 6204 6627 8836 9229 10068 13254 18458 24299 26508 27687 36916 39433 48598 55374 72897 78866 97196 110748 118299 145794 157732 236598 291588 433763 473196 867526 1301289 1735052 1853351 2602578 3706702 5205156 5560053 7413404 11120106 20386861 22240212 40773722 61160583 81547444 122321166 244642332