Why is it that when I output an int with a leading zero it spits out a different number? How can I get rid of the leading zero? (C++)

Question

For example, 0530 becomes 344 and if I output 0530%1000, it returns with 344. You see, these four numbers are a time format (HHMM) and I am trying to read how many minutes passed since 0000, i.e the first two numbers times 60 plus the last two.

I tried looking for some int function manipulators but could not find any (maybe im bad at researching). I am looking for something like the opposite of setfill()