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12328668 = 223211163191
BaseRepresentation
bin101111000001…
…111011011100
3212012100202100
4233001323130
511124004133
61120125100
7206535432
oct57017334
925170670
1012328668
116a60790
124166790
132728791
1418ccd52
151137e13
hexbc1edc

12328668 has 72 divisors (see below), whose sum is σ = 34384896. Its totient is φ = 3693600.

The previous prime is 12328643. The next prime is 12328681. The reversal of 12328668 is 86682321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64453 + ... + 64643.

It is an arithmetic number, because the mean of its divisors is an integer number (477568).

Almost surely, 212328668 is an apocalyptic number.

12328668 is a gapful number since it is divisible by the number (18) 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 12328668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192448).

12328668 is an abundant number, since it is smaller than the sum of its proper divisors (22056228).

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

12328668 is a wasteful number, since it uses less digits than its factorization.

12328668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12328668 is about 3511.2203006932. The cubic root of 12328668 is about 231.0142229956.

It can be divided in two parts, 12328 and 668, that added together give a square (12996 = 1142).

The spelling of 12328668 in words is "twelve million, three hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 191 198 326 382 396 489 573 652 764 978 1146 1467 1719 1793 1956 2101 2292 2934 3438 3586 4202 5379 5868 6303 6876 7172 8404 10758 12606 16137 18909 21516 25212 31133 32274 37818 62266 64548 75636 93399 124532 186798 280197 342463 373596 560394 684926 1027389 1120788 1369852 2054778 3082167 4109556 6164334 12328668