Base | Representation |
---|---|
bin | 101110111111… |
… | …011010000000 |
3 | 212011211120200 |
4 | 232333122000 |
5 | 11123141321 |
6 | 1120005200 |
7 | 206463342 |
oct | 56773200 |
9 | 25154520 |
10 | 12318336 |
11 | 6a53a48 |
12 | 4160800 |
13 | 2723b74 |
14 | 18c9292 |
15 | 1134d26 |
hex | bbf680 |
12318336 has 144 divisors (see below), whose sum is σ = 38672790. Its totient is φ = 3760128.
The previous prime is 12318329. The next prime is 12318343. The reversal of 12318336 is 63381321.
It is a happy number.
12318336 is a `hidden beast` number, since 12 + 318 + 336 = 666.
It is an interprime number because it is at equal distance from previous prime (12318329) and next prime (12318343).
It can be written as a sum of positive squares in 3 ways, for example, as 12110400 + 207936 = 3480^2 + 456^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332910 + ... + 332946.
Almost surely, 212318336 is an apocalyptic number.
12318336 is a gapful number since it is divisible by the number (16) 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 12318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336395).
12318336 is an abundant number, since it is smaller than the sum of its proper divisors (26354454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12318336 is a wasteful number, since it uses less digits than its factorization.
12318336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 59 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 12318336 is about 3509.7487089534. The cubic root of 12318336 is about 230.9496713878.
Adding to 12318336 its reverse (63381321), we get a palindrome (75699657).
The spelling of 12318336 in words is "twelve million, three hundred eighteen thousand, three hundred thirty-six".
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