All so-called "small size" US bills printed since 1928 are the same size, 66.3 x 156 mm (6.14 × 2.61 in). Each weighs 1 gm, regardless of denomination.
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Please check your bill again. No 1934 C $1000 bills were put into circulation. You may be referring to the Federal Reserve District letter; the series letter is next to the date. There's more information at the question "What is the value of a 1934 US 1000 dollar bill?".
1934 ten dollar bill green with B stamp
what is a 1934 thousand dollar bill worth
The last series year for $500 bills was 1934. If that's what you have current retail is $600 - $1000 depending on how worn the bill is.
1934