Omega watch 30's help

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Hi everybody.
Here I show you a little Omega (3.1 mm) that I bought in a Flea market. Personally, I have not seen a similar case (all stainless steel) that I think that is beautiful. I have some doubts.
The dial Is not the original, is a redial. Anyone have a picture of how the dial is supposed to be? Do you know the watch caliber? some parts are missing. Thanks in advance.
 
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Omega 23.4 SC perhaps. Can you measure the movement? It may also be marked under the balance.
 
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Omega 23.4 SC perhaps. Can you measure the movement? It may also be marked under the balance.
Yes, it says 23.4 SC. The movement measures 2.3 cm. Thank you Dan.
 
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Looks like the sweep second wheel and pinion are missing, but nice watch anyway.