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443399994 = 23441241277
BaseRepresentation
bin11010011011011…
…011111100111010
31010220100001110000
4122123123330322
51402002244434
6111555333430
713662560232
oct3233337472
91126301400
10443399994
11208318a84
121045b1276
1370b2887b
1442c60cc2
1528dd7b99
hex1a6dbf3a

443399994 has 80 divisors (see below), whose sum is σ = 1025689896. Its totient is φ = 143078400.

The previous prime is 443399989. The next prime is 443400031. The reversal of 443399994 is 499993344.

It can be written as a sum of positive squares in 4 ways, for example, as 250050969 + 193349025 = 15813^2 + 13905^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 443399994.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1600584 + ... + 1600860.

Almost surely, 2443399994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443399994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512844948).

443399994 is an abundant number, since it is smaller than the sum of its proper divisors (582289902).

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

443399994 is a wasteful number, since it uses less digits than its factorization.

443399994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 564 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 443399994 is about 21057.0651801242. The cubic root of 443399994 is about 762.5445608286.

The spelling of 443399994 in words is "four hundred forty-three million, three hundred ninety-nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 241 246 277 369 482 554 723 738 831 1107 1446 1662 2169 2214 2493 3321 4338 4986 6507 6642 7479 9881 11357 13014 14958 19521 19762 22437 22714 29643 34071 39042 44874 59286 66757 68142 88929 102213 133514 177858 200271 204426 266787 306639 400542 533574 600813 613278 800361 919917 1201626 1600722 1802439 1839834 2737037 3604878 5407317 5474074 8211111 10814634 16422222 24633333 49266666 73899999 147799998 221699997 443399994