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12344020 = 22513197241
BaseRepresentation
bin101111000101…
…101011010100
3212020010210221
4233011223110
511130002040
61120324124
7206631253
oct57055324
925203727
1012344020
116a71277
124173644
132732770
1418d479a
15113c74a
hexbc5ad4

12344020 has 48 divisors (see below), whose sum is σ = 28174608. Its totient is φ = 4515840.

The previous prime is 12343979. The next prime is 12344041. The reversal of 12344020 is 2044321.

It can be written as a sum of positive squares in 8 ways, for example, as 427716 + 11916304 = 654^2 + 3452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12343985 and 12344003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51100 + ... + 51340.

It is an arithmetic number, because the mean of its divisors is an integer number (586971).

Almost surely, 212344020 is an apocalyptic number.

12344020 is a gapful number since it is divisible by the number (10) 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 12344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087304).

12344020 is an abundant number, since it is smaller than the sum of its proper divisors (15830588).

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

12344020 is a wasteful number, since it uses less digits than its factorization.

12344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12344020 is about 3513.4057551043. The cubic root of 12344020 is about 231.1100716656.

Adding to 12344020 its reverse (2044321), we get a palindrome (14388341).

The spelling of 12344020 in words is "twelve million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 241 260 394 482 788 964 985 1205 1970 2410 2561 3133 3940 4820 5122 6266 10244 12532 12805 15665 25610 31330 47477 51220 62660 94954 189908 237385 474770 617201 949540 1234402 2468804 3086005 6172010 12344020