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244923360 = 25351124217
BaseRepresentation
bin11101001100100…
…11101111100000
3122001212101200120
432212103233200
51000200021420
640145320240
76032546163
oct1646235740
9561771616
10244923360
11116286600
126a036080
133b985a86
1424757ada
151677ed40
hexe993be0

244923360 has 144 divisors (see below), whose sum is σ = 848222928. Its totient is φ = 59361280.

The previous prime is 244923323. The next prime is 244923361. The reversal of 244923360 is 63329442.

244923360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244923361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55972 + ... + 60188.

It is an arithmetic number, because the mean of its divisors is an integer number (5890437).

Almost surely, 2244923360 is an apocalyptic number.

244923360 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 244923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424111464).

244923360 is an abundant number, since it is smaller than the sum of its proper divisors (603299568).

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

244923360 is a wasteful number, since it uses less digits than its factorization.

244923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 244923360 is about 15650.0274760142. The cubic root of 244923360 is about 625.6672213183.

The spelling of 244923360 in words is "two hundred forty-four million, nine hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4217 4840 5280 5808 7260 8434 9680 11616 12651 14520 16868 19360 21085 25302 29040 33736 42170 46387 50604 58080 63255 67472 84340 92774 101208 126510 134944 139161 168680 185548 202416 231935 253020 278322 337360 371096 404832 463870 506040 510257 556644 674720 695805 742192 927740 1012080 1020514 1113288 1391610 1484384 1530771 1855480 2024160 2041028 2226576 2551285 2783220 3061542 3710960 4082056 4453152 5102570 5566440 6123084 7421920 7653855 8164112 10205140 11132880 12246168 15307710 16328224 20410280 22265760 24492336 30615420 40820560 48984672 61230840 81641120 122461680 244923360