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443424344 = 23112895147
BaseRepresentation
bin11010011011100…
…001111001011000
31010220101021211212
4122123201321120
51402004034334
6112000042252
713663021226
oct3233417130
91126337755
10443424344
11208335300
12104603388
1370b3698c
1442c69b16
1528ddeece
hex1a6e1e58

443424344 has 48 divisors (see below), whose sum is σ = 924323400. Its totient is φ = 199253120.

The previous prime is 443424343. The next prime is 443424347.

443424344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 443424344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443424343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83579 + ... + 88725.

Almost surely, 2443424344 is an apocalyptic number.

443424344 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 443424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462161700).

443424344 is an abundant number, since it is smaller than the sum of its proper divisors (480899056).

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

443424344 is a wasteful number, since it uses less digits than its factorization.

443424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5249 counting only the distinct ones).

The product of its digits is 73728, while the sum is 32.

The square root of 443424344 is about 21057.6433629217. The cubic root of 443424344 is about 762.5585193464.

The spelling of 443424344 in words is "four hundred forty-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 89 121 178 242 356 484 712 968 979 1958 3916 5147 7832 10294 10769 20588 21538 41176 43076 56617 86152 113234 226468 452936 458083 622787 916166 1245574 1832332 2491148 3664664 4982296 5038913 10077826 20155652 40311304 55428043 110856086 221712172 443424344