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12441348 = 22321729701
BaseRepresentation
bin101111011101…
…011100000100
3212102002022200
4233131130010
511141110343
61122354500
7210515103
oct57353404
925362280
1012441348
117028407
1241bba30
132767b5a
14191c03a
15115b4d3
hexbdd704

12441348 has 72 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 3763200.

The previous prime is 12441329. The next prime is 12441349. The reversal of 12441348 is 84314421.

It can be written as a sum of positive squares in 4 ways, for example, as 5846724 + 6594624 = 2418^2 + 2568^2 .

It is not an unprimeable number, because it can be changed into a prime (12441349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17398 + ... + 18098.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 212441348 is an apocalyptic number.

12441348 is a gapful number since it is divisible by the number (18) 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 12441348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

12441348 is an abundant number, since it is smaller than the sum of its proper divisors (22054932).

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

12441348 is a wasteful number, since it uses less digits than its factorization.

12441348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 752 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12441348 is about 3527.2295077015. The cubic root of 12441348 is about 231.7158878444.

Adding to 12441348 its reverse (84314421), we get a palindrome (96755769).

The spelling of 12441348 in words is "twelve million, four hundred forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 701 986 1044 1402 1479 1972 2103 2804 2958 4206 4437 5916 6309 8412 8874 11917 12618 17748 20329 23834 25236 35751 40658 47668 60987 71502 81316 107253 121974 143004 182961 214506 243948 345593 365922 429012 691186 731844 1036779 1382372 2073558 3110337 4147116 6220674 12441348