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244919440 = 24510932801
BaseRepresentation
bin11101001100100…
…10110010010000
3122001212012022101
432212102302100
51000144410230
640145250144
76032531563
oct1646226220
9561765271
10244919440
11116283667
126a033954
133b98405c
14247564da
151677daca
hexe992c90

244919440 has 40 divisors (see below), whose sum is σ = 570162168. Its totient is φ = 97843200.

The previous prime is 244919429. The next prime is 244919447. The reversal of 244919440 is 44919442.

It can be written as a sum of positive squares in 4 ways, for example, as 91853056 + 153066384 = 9584^2 + 12372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 244919440.

It is not an unprimeable number, because it can be changed into a prime (244919447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86040 + ... + 88840.

Almost surely, 2244919440 is an apocalyptic number.

244919440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244919440 is an abundant number, since it is smaller than the sum of its proper divisors (325242728).

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

244919440 is a wasteful number, since it uses less digits than its factorization.

244919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 244919440 is about 15649.9022361164. The cubic root of 244919440 is about 625.6638833645.

The spelling of 244919440 in words is "two hundred forty-four million, nine hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1093 2186 2801 4372 5465 5602 8744 10930 11204 14005 17488 21860 22408 28010 43720 44816 56020 87440 112040 224080 3061493 6122986 12245972 15307465 24491944 30614930 48983888 61229860 122459720 244919440