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12330032 = 24111317317
BaseRepresentation
bin101111000010…
…010000110000
3212012102121212
4233002100300
511124030112
61120135252
7206542421
oct57022060
925172555
1012330032
116a61810
124167528
1327292a0
1418cd648
151138522
hexbc2430

12330032 has 80 divisors (see below), whose sum is σ = 29810592. Its totient is φ = 4853760.

The previous prime is 12330029. The next prime is 12330037. The reversal of 12330032 is 23003321.

It is a super-3 number, since 3×123300323 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12329989 and 12330016.

It is not an unprimeable number, because it can be changed into a prime (12330037) 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, 38738 + ... + 39054.

Almost surely, 212330032 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 12330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905296).

12330032 is an abundant number, since it is smaller than the sum of its proper divisors (17480560).

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

12330032 is a wasteful number, since it uses less digits than its factorization.

12330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 12330032 is about 3511.4145297871. The cubic root of 12330032 is about 231.0227422122.

Adding to 12330032 its reverse (23003321), we get a palindrome (35333353).

Subtracting 12330032 from its reverse (23003321), we obtain a square (10673289 = 32672).

The spelling of 12330032 in words is "twelve million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 317 374 442 572 634 748 884 1144 1268 1496 1768 2288 2431 2536 2992 3487 3536 4121 4862 5072 5389 6974 8242 9724 10778 13948 16484 19448 21556 27896 32968 38896 43112 45331 55792 59279 65936 70057 86224 90662 118558 140114 181324 237116 280228 362648 474232 560456 725296 770627 948464 1120912 1541254 3082508 6165016 12330032