The official HP drivers for the PSC 1350 are for Windows XP/Vista/7. They will not install on Windows 10. Ignore any third-party “driver download” sites.
software (which handled scanning) is not compatible with Windows 10, you will need alternative software to scan: HP Support Community Windows Scan App hp psc 1350 allinone printer driver for windows 10 upd
HP PSC 1350 All-in-One printer , Windows 10 does not have a dedicated, modern "Full Feature" driver package available for download from the official HP website . Instead, you must rely on the Windows Built-in Driver Windows Update catalog to enable printing and basic scanning HP Support Community Recommended Installation Steps The official HP drivers for the PSC 1350
To summarize the fastest path today:
The HP PSC 1350 All-in-One Go to product viewer dialog for this item. hp psc 1350 allinone printer driver for windows 10 upd