The Coulomb energy component in the binding energy of a nucleus is 18.432 MeV. If the radius of the uniform and spherical charge distribution in the nucleus is 3 fm, the corresponding atomic number (rounded off to the nearest integer) is \(\underline{\hspace{2cm}}\).
\text{(Given: } \frac{e^2}{4 \pi \epsilon_0} = 1.44 \, \text{MeV fm}).}