Search a number
-
+
244666944 = 2632424769
BaseRepresentation
bin11101001010101…
…01001001000000
3122001101100221200
432211111021000
51000113320234
640140021200
76030430464
oct1645251100
9561340850
10244666944
11116120995
1269b31800
133b8c6152
14246cc4a4
151672dd99
hexe955240

244666944 has 42 divisors (see below), whose sum is σ = 701295270. Its totient is φ = 81555456.

The previous prime is 244666943. The next prime is 244666951. The reversal of 244666944 is 449666442.

It can be written as a sum of positive squares in only one way, i.e., 146894400 + 97772544 = 12120^2 + 9888^2 .

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 244666944.

It is not an unprimeable number, because it can be changed into a prime (244666943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211809 + ... + 212960.

Almost surely, 2244666944 is an apocalyptic number.

244666944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244666944 is an abundant number, since it is smaller than the sum of its proper divisors (456628326).

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

244666944 is a wasteful number, since it uses less digits than its factorization.

244666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424787 (or 424774 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 244666944 is about 15641.8331406520. The cubic root of 244666944 is about 625.4488031906.

The spelling of 244666944 in words is "two hundred forty-four million, six hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 424769 849538 1274307 1699076 2548614 3398152 3822921 5097228 6796304 7645842 10194456 13592608 15291684 20388912 27185216 30583368 40777824 61166736 81555648 122333472 244666944