Month to month tenancy in California and correct notice to vacate
Tenant is a holdover and his tenancy is now month to month, with the rent being due on the first. Tenant gave us notice on August 31, to vacate on October 3. We believe that since he's a monthly tenant, not a daily tenant, if he wants to stay beyond October 1st, then he owes us money for the whole month. He argues that he has given us more than the minimum 30 days notice by giving us 34 days notice, so he wants to stay at a prorated amount. What's the correct thing to do?