Search a number
-
+
12330624 = 273163197
BaseRepresentation
bin101111000010…
…011010000000
3212012110102210
4233002122000
511124034444
61120142120
7206544225
oct57023200
925173383
1012330624
116a621a9
124167940
132729637
1418cd94c
1511387b9
hexbc2680

12330624 has 64 divisors (see below), whose sum is σ = 33121440. Its totient is φ = 4064256.

The previous prime is 12330611. The next prime is 12330631. The reversal of 12330624 is 42603321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12330624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62494 + ... + 62690.

Almost surely, 212330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560720).

12330624 is an abundant number, since it is smaller than the sum of its proper divisors (20790816).

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

12330624 is a wasteful number, since it uses less digits than its factorization.

12330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12330624 is about 3511.4988252881. The cubic root of 12330624 is about 231.0264395066.

Adding to 12330624 its reverse (42603321), we get a palindrome (54933945).

The spelling of 12330624 in words is "twelve million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 197 326 384 394 489 591 652 788 978 1182 1304 1576 1956 2364 2608 3152 3912 4728 5216 6304 7824 9456 10432 12608 15648 18912 20864 25216 31296 32111 37824 62592 64222 75648 96333 128444 192666 256888 385332 513776 770664 1027552 1541328 2055104 3082656 4110208 6165312 12330624