Search a number
-
+
244744440 = 233511318049
BaseRepresentation
bin11101001011010…
…00000011111000
3122001112022020220
432211220003320
51000123310230
640141420040
76031202433
oct1645500370
9561468226
10244744440
11116174136
1269b6a620
133b9224c5
142470c81a
1516746d10
hexe9680f8

244744440 has 64 divisors (see below), whose sum is σ = 740772000. Its totient is φ = 64684032.

The previous prime is 244744429. The next prime is 244744459. The reversal of 244744440 is 44447442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536 + ... + 22584.

Almost surely, 2244744440 is an apocalyptic number.

244744440 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 244744440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370386000).

244744440 is an abundant number, since it is smaller than the sum of its proper divisors (496027560).

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

244744440 is a wasteful number, since it uses less digits than its factorization.

244744440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 33.

The square root of 244744440 is about 15644.3101477822. The cubic root of 244744440 is about 625.5148312682.

The spelling of 244744440 in words is "two hundred forty-four million, seven hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 18049 36098 54147 72196 90245 108294 144392 180490 216588 270735 360980 433176 541470 721960 1082940 2039537 2165880 4079074 6118611 8158148 10197685 12237222 16316296 20395370 24474444 30593055 40790740 48948888 61186110 81581480 122372220 244744440