Base | Representation |
---|---|
bin | 101110100110… |
… | …100001000000 |
3 | 211222122201200 |
4 | 232212201000 |
5 | 11111411014 |
6 | 1113501200 |
7 | 205560165 |
oct | 56464100 |
9 | 24878650 |
10 | 12216384 |
11 | 6994394 |
12 | 4111800 |
13 | 26b963b |
14 | 18a006c |
15 | 1114a09 |
hex | ba6840 |
12216384 has 84 divisors (see below), whose sum is σ = 35503104. Its totient is φ = 4015872.
The previous prime is 12216377. The next prime is 12216389. The reversal of 12216384 is 48361221.
12216384 is a `hidden beast` number, since 1 + 2 + 21 + 638 + 4 = 666.
It is a super-3 number, since 3×122163843 (a number of 22 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (12216389) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73069 + ... + 73235.
It is an arithmetic number, because the mean of its divisors is an integer number (422656).
Almost surely, 212216384 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 12216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751552).
12216384 is an abundant number, since it is smaller than the sum of its proper divisors (23286720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12216384 is a wasteful number, since it uses less digits than its factorization.
12216384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312 (or 299 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 12216384 is about 3495.1944151935. The cubic root of 12216384 is about 230.3107582622.
The spelling of 12216384 in words is "twelve million, two hundred sixteen thousand, three hundred eighty-four".
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