Search a number
-
+
244261440 = 26335171663
BaseRepresentation
bin11101000111100…
…10001001000000
3122000121202201000
432203302021000
51000012331230
640123212000
76024121323
oct1643621100
9560552630
10244261440
11115974265
1269977000
133b7b36c7
14246247ba
151669db60
hexe8f2240

244261440 has 224 divisors, whose sum is σ = 912936960. Its totient is φ = 61267968.

The previous prime is 244261417. The next prime is 244261441. The reversal of 244261440 is 44162442.

It is a happy number.

244261440 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 614 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (244261441) 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 31 ways as a sum of consecutive naturals, for example, 146049 + ... + 147711.

Almost surely, 2244261440 is an apocalyptic number.

244261440 is a gapful number since it is divisible by the number (20) 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 244261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

244261440 is an abundant number, since it is smaller than the sum of its proper divisors (668675520).

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

244261440 is a wasteful number, since it uses less digits than its factorization.

244261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 244261440 is about 15628.8656018279. The cubic root of 244261440 is about 625.1030784655.

The spelling of 244261440 in words is "two hundred forty-four million, two hundred sixty-one thousand, four hundred forty".