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12443004 = 22337109151
BaseRepresentation
bin101111011101…
…110101111100
3212102011121000
4233131311330
511141134004
61122410300
7210522660
oct57356574
925364530
1012443004
117029682
124200990
132768832
14191c8a0
15115bc39
hexbddd7c

12443004 has 96 divisors (see below), whose sum is σ = 37452800. Its totient is φ = 3499200.

The previous prime is 12442999. The next prime is 12443029. The reversal of 12443004 is 40034421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82329 + ... + 82479.

Almost surely, 212443004 is an apocalyptic number.

12443004 is a gapful number since it is divisible by the number (14) 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 12443004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726400).

12443004 is an abundant number, since it is smaller than the sum of its proper divisors (25009796).

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

12443004 is a wasteful number, since it uses less digits than its factorization.

12443004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12443004 is about 3527.4642450350. The cubic root of 12443004 is about 231.7261682011.

Adding to 12443004 its reverse (40034421), we get a palindrome (52477425).

The spelling of 12443004 in words is "twelve million, four hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 151 189 218 252 302 327 378 436 453 604 654 756 763 906 981 1057 1308 1359 1526 1812 1962 2114 2289 2718 2943 3052 3171 3924 4077 4228 4578 5436 5886 6342 6867 8154 9156 9513 11772 12684 13734 16308 16459 19026 20601 27468 28539 32918 38052 41202 49377 57078 65836 82404 98754 114156 115213 148131 197508 230426 296262 345639 444393 460852 592524 691278 888786 1036917 1382556 1777572 2073834 3110751 4147668 6221502 12443004