Search a number
-
+
12344024 = 2371129691
BaseRepresentation
bin101111000101…
…101011011000
3212020010211002
4233011223120
511130002044
61120324132
7206631260
oct57055330
925203732
1012344024
116a71280
124173648
132732774
1418d47a0
15113c74e
hexbc5ad8

12344024 has 64 divisors (see below), whose sum is σ = 29894400. Its totient is φ = 4636800.

The previous prime is 12343979. The next prime is 12344041. The reversal of 12344024 is 42044321.

It is a junction number, because it is equal to n+sod(n) for n = 12343987 and 12344005.

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, 17519 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (467100).

Almost surely, 212344024 is an apocalyptic number.

12344024 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 12344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947200).

12344024 is an abundant number, since it is smaller than the sum of its proper divisors (17550376).

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

12344024 is a wasteful number, since it uses less digits than its factorization.

12344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 12344024 is about 3513.4063243525. The cubic root of 12344024 is about 231.1100966288.

Adding to 12344024 its reverse (42044321), we get a palindrome (54388345).

The spelling of 12344024 in words is "twelve million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 691 812 1276 1382 1624 2233 2552 2764 4466 4837 5528 7601 8932 9674 15202 17864 19348 20039 30404 38696 40078 53207 60808 80156 106414 140273 160312 212828 220429 280546 425656 440858 561092 881716 1122184 1543003 1763432 3086006 6172012 12344024