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444314244 = 2231117389509
BaseRepresentation
bin11010011110111…
…011001010000100
31010222001111120010
4122132323022010
51402221023434
6112031110220
714003415543
oct3236731204
91128044503
10444314244
11208892960
12104972370
1371088a4a
144301c15a
15290189e9
hex1a7bb284

444314244 has 96 divisors (see below), whose sum is σ = 1202947200. Its totient is φ = 126146560.

The previous prime is 444314219. The next prime is 444314257. The reversal of 444314244 is 442413444.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872662 + ... + 873170.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2444314244 is an apocalyptic number.

444314244 is a gapful number since it is divisible by the number (44) 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 444314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

444314244 is an abundant number, since it is smaller than the sum of its proper divisors (758632956).

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

444314244 is a wasteful number, since it uses less digits than its factorization.

444314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 444314244 is about 21078.7628669237. The cubic root of 444314244 is about 763.0682999391.

Adding to 444314244 its reverse (442413444), we get a palindrome (886727688).

The spelling of 444314244 in words is "four hundred forty-four million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 389 509 561 748 778 1018 1122 1167 1527 1556 2036 2244 2334 3054 4279 4668 5599 6108 6613 8558 8653 11198 12837 13226 16797 17116 17306 19839 22396 25674 25959 26452 33594 34612 39678 51348 51918 67188 72743 79356 95183 103836 145486 190366 198001 218229 285549 290972 380732 396002 436458 571098 594003 792004 872916 1142196 1188006 2178011 2376012 3366017 4356022 6534033 6732034 8712044 10098051 13068066 13464068 20196102 26136132 37026187 40392204 74052374 111078561 148104748 222157122 444314244