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443444344 = 237194091019
BaseRepresentation
bin11010011011100…
…110110001111000
31010220102022021121
4122123212301320
51402010204334
6112000315024
713663133440
oct3233466170
91126368247
10443444344
11208349332
12104612a74
1370b42b05
1442c73120
1528de5db4
hex1a6e6c78

443444344 has 64 divisors (see below), whose sum is σ = 1003680000. Its totient is φ = 179428608.

The previous prime is 443444311. The next prime is 443444357.

It is a happy number.

443444344 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434667 + ... + 435685.

It is an arithmetic number, because the mean of its divisors is an integer number (15682500).

Almost surely, 2443444344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501840000).

443444344 is an abundant number, since it is smaller than the sum of its proper divisors (560235656).

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

443444344 is a wasteful number, since it uses less digits than its factorization.

443444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1456 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

The square root of 443444344 is about 21058.1182445156. The cubic root of 443444344 is about 762.5699838659.

The spelling of 443444344 in words is "four hundred forty-three million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 409 532 818 1019 1064 1636 2038 2863 3272 4076 5726 7133 7771 8152 11452 14266 15542 19361 22904 28532 31084 38722 54397 57064 62168 77444 108794 135527 154888 217588 271054 416771 435176 542108 833542 1084216 1667084 2917397 3334168 5834794 7918649 11669588 15837298 23339176 31674596 55430543 63349192 110861086 221722172 443444344