The 74HCT32 is identical in pinout to the LS32. The device has TTL-compatible inputs.
 

Features
1. Output Drive Capability: 10 LSTTL Loads
2. TTL/NMOS−Compatible Input Levels
3. Outputs Directly Interface to CMOS, NMOS and TTL
4. Operating Voltage Range: 4.5 to 5.5 V
5. Low Input Current: 1.0 A
6. High Noise Immunity Characteristic of CMOS Devices
7. In Compliance With the JEDEC Standard No. 7A Requirements
8. ESD Performance: HBM 2000 V; Machine Model 200 V
9. Chip Complexity: 48 FETs or 12 Equivalent Gates
10. These are Pb−Free Devices