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443414412 = 223471931013
BaseRepresentation
bin11010011011011…
…111011110001100
31010220100210020000
4122123133132030
51402003230122
6111555524300
713662650250
oct3233373614
91126323200
10443414412
112083288a1
121045b9690
1370b322bc
1442c66260
1528ddc0ac
hex1a6df78c

443414412 has 120 divisors (see below), whose sum is σ = 1332947616. Its totient is φ = 125908992.

The previous prime is 443414407. The next prime is 443414431. The reversal of 443414412 is 214414344.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 437218 + ... + 438230.

Almost surely, 2443414412 is an apocalyptic number.

443414412 is a gapful number since it is divisible by the number (42) 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 443414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666473808).

443414412 is an abundant number, since it is smaller than the sum of its proper divisors (889533204).

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

443414412 is a wasteful number, since it uses less digits than its factorization.

443414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 443414412 is about 21057.4075327425. The cubic root of 443414412 is about 762.5528259379.

Adding to 443414412 its reverse (214414344), we get a palindrome (657828756).

The spelling of 443414412 in words is "four hundred forty-three million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 193 252 324 378 386 567 579 756 772 1013 1134 1158 1351 1737 2026 2268 2316 2702 3039 3474 4052 4053 5211 5404 6078 6948 7091 8106 9117 10422 12156 12159 14182 15633 16212 18234 20844 21273 24318 27351 28364 31266 36468 36477 42546 48636 54702 62532 63819 72954 82053 85092 109404 109431 127638 145908 164106 191457 195509 218862 255276 328212 382914 391018 437724 574371 586527 765828 782036 1148742 1173054 1368563 1759581 2297484 2346108 2737126 3519162 4105689 5278743 5474252 7038324 8211378 10557486 12317067 15836229 16422756 21114972 24634134 31672458 36951201 49268268 63344916 73902402 110853603 147804804 221707206 443414412