Problem A

What Number Am I?

I am a five-digit number made of the digits \(0\), \(3\), \(4\), \(6\), and \(9\). In my number, the following are true.

The digit \(4\) is in a position whose place value is \(10\) times the place value of the position of the digit \(9\) and \(100\) times the place value of the position of the digit \(0\).

The digit \(3\) is in a position whose place value is \(100\) times the place value of the position of the digit \(9\).

The digit \(0\) in a position whose place value is \(10\) times the place value of the position of the digit \(6\).

What number am I?

**Themes:** Computational Thinking, Number Sense