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444304350 = 232527178297
BaseRepresentation
bin11010011110111…
…000101111011110
31010222000222222200
4122132320233132
51402220214400
6112030552330
714003344650
oct3236705736
91128028880
10444304350
11208886486
121049686a6
13710843a9
14430186d0
1529015b00
hex1a7b8bde

444304350 has 144 divisors (see below), whose sum is σ = 1444648608. Its totient is φ = 95569920.

The previous prime is 444304349. The next prime is 444304351. The reversal of 444304350 is 53403444.

444304350 is a `hidden beast` number, since 4 + 4 + 4 + 304 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (444304349) and next prime (444304351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444304351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49402 + ... + 57698.

It is an arithmetic number, because the mean of its divisors is an integer number (10032282).

Almost surely, 2444304350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444304350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722324304).

444304350 is an abundant number, since it is smaller than the sum of its proper divisors (1000344258).

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

444304350 is a wasteful number, since it uses less digits than its factorization.

444304350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 444304350 is about 21078.5281744243. The cubic root of 444304350 is about 763.0626358895.

Adding to 444304350 its reverse (53403444), we get a palindrome (497707794).

The spelling of 444304350 in words is "four hundred forty-four million, three hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 85 90 102 105 119 126 150 153 170 175 210 225 238 255 306 315 350 357 425 450 510 525 595 630 714 765 850 1050 1071 1190 1275 1530 1575 1785 2142 2550 2975 3150 3570 3825 5355 5950 7650 8297 8925 10710 16594 17850 24891 26775 41485 49782 53550 58079 74673 82970 116158 124455 141049 149346 174237 207425 248910 282098 290395 348474 373365 414850 423147 522711 580790 622275 705245 746730 846294 871185 987343 1045422 1244550 1269441 1410490 1451975 1742370 1866825 1974686 2115735 2538882 2613555 2903950 2962029 3526225 3733650 4231470 4355925 4936715 5227110 5924058 6347205 7052450 8711850 8886087 9873430 10578675 12694410 13067775 14810145 17772174 21157350 24683575 26135550 29620290 31736025 44430435 49367150 63472050 74050725 88860870 148101450 222152175 444304350