Angularjs how to apply currency filter to input type = number?

Here is the Plunkr I created: http://plnkr.co/edit/T9nrjP1LePGYwF8C0yBH

I am using the $ currency filter and formatting the inputs type="text"

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Now how can I do the same for input type="number"

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Angularjs will set the model to undefined if you type any letters other than a number.

Any help would be appreciated.