What year is a Remington Model 4 serial 335785 22 caliber single shot?

This model of rifle was introduced by Remington in 1890 and discontinued in 1933.

The serials run from 1 to 356,000 so I assume this higher number would be nearing the 20s or 30s.

I have serial 328506, so it sounds like our rifles were probably made around the same time.

I know it was my great grandpa's and that puts it around that time as well.