Mary chose an even 4-digit number n. She wrote down all the divisors of n in increasing order from left to right: 1,2, \ldots, \dfrac{n}{2}, n. At some moment Mary wrote 323 as a divisor of n. What is the smallest possible value of the next divisor written to the right of 323 ?

**Answer Choices**

A. 324

B. 330

C. 340

D. 361

E. 646