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12330024 = 2337233191
BaseRepresentation
bin101111000010…
…010000101000
3212012102121120
4233002100220
511124030044
61120135240
7206542410
oct57022050
925172546
1012330024
116a61803
124167520
132729295
1418cd640
151138519
hexbc2428

12330024 has 64 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3368640.

The previous prime is 12330023. The next prime is 12330029. The reversal of 12330024 is 42003321.

It is a junction number, because it is equal to n+sod(n) for n = 12329985 and 12330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212330024 is an apocalyptic number.

12330024 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 12330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

12330024 is an abundant number, since it is smaller than the sum of its proper divisors (24441816).

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

12330024 is a wasteful number, since it uses less digits than its factorization.

12330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12330024 is about 3511.4133906449. The cubic root of 12330024 is about 231.0226922480.

Adding to 12330024 its reverse (42003321), we get a palindrome (54333345).

The spelling of 12330024 in words is "twelve million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3191 3864 6382 9573 12764 19146 22337 25528 38292 44674 67011 73393 76584 89348 134022 146786 178696 220179 268044 293572 440358 513751 536088 587144 880716 1027502 1541253 1761432 2055004 3082506 4110008 6165012 12330024