What kind of growth is $O(0.24\cdot K\cdot 2^w)$
If $K$ is constant and $w$ is variable then $0.24\times K\times 2^w$ and the function is exponential in $w$, therefore it is $O(2^w)$.

If $K$ is variable and $w$ is constant then $0.24\times K\times 2^w$ is $O(K)$ - linear in $K$.   

If both $K$  and $w$ are variables then $0.24\times K\times 2^w$ is $O(K2^w)$.

If both $K$  and $w$ are constant then $0.24\times K\times 2^w$ is $O(1)$.

The constant $0.24$ is ignored since it becomes irrelevant when we compare the rate of growth of a function. For more details please see Big-O notation.

We also use $O^*(f(n))$ notation, in particular in analysis of parametrized algorithms, which means that the algorithm runs in 
$O(f(n)p(k))$ for some polynomial $p(k)$. So you could also write it is $O^*(2^w)$ in case $w$ is variable.