Base | Representation |
---|---|
bin | 101110111100… |
… | …011111010000 |
3 | 212011020012000 |
4 | 232330133100 |
5 | 11122301014 |
6 | 1115434000 |
7 | 206413446 |
oct | 56743720 |
9 | 25136160 |
10 | 12306384 |
11 | 6a45a72 |
12 | 4155900 |
13 | 271b5ac |
14 | 18c4b96 |
15 | 1131509 |
hex | bbc7d0 |
12306384 has 80 divisors (see below), whose sum is σ = 35979840. Its totient is φ = 4026240.
The previous prime is 12306379. The next prime is 12306407. The reversal of 12306384 is 48360321.
It is a happy number.
12306384 is a `hidden beast` number, since 1 + 23 + 0 + 638 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26119 + ... + 26585.
It is an arithmetic number, because the mean of its divisors is an integer number (449748).
Almost surely, 212306384 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 12306384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920).
12306384 is an abundant number, since it is smaller than the sum of its proper divisors (23673456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12306384 is a wasteful number, since it uses less digits than its factorization.
12306384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 545 (or 533 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 12306384 is about 3508.0456097377. The cubic root of 12306384 is about 230.8749534039.
The spelling of 12306384 in words is "twelve million, three hundred six thousand, three hundred eighty-four".
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