The number of natural number less than 30000 can be made from the digits 0, 1, 2, 3, 4, 5, 6 will be:

To solve this problem, we need to consider the number of digits in the number.

1. One-digit numbers: There are 7 one-digit numbers (0, 1, 2, 3, 4, 5, 6).

2. Two-digit numbers: The first digit can be any of the 6 non-zero digits (1, 2, 3, 4, 5, 6), and the second digit can be any of the 7 digits (0, 1, 2, 3, 4, 5, 6). So, there are 6*7 = 42 two-digit numbers.

3. Three-digit numbers: The first digit can be any of the 6 non-zero digits, and the second and third digits can be any of the 7 digits. So, there are 677 = 294 three-digit numbers.

4. Four-digit numbers: The first digit can be any of the 6 non-zero digits, and the second, third, and fourth digits can be any of the 7 digits. So, there are 677*7 = 2058 four-digit numbers.

5. Five-digit numbers: The first digit can be any of the 3 non-zero digits (1, 2, 3) because we want the number to be less than 30000, and the second, third, fourth, and fifth digits can be any of the 7 digits. So, there are 37777 = 7203 five-digit numbers.

Adding all these up, the total number of natural numbers less than 30000 that can be made from the digits 0, 1, 2, 3, 4, 5, 6 is 7 + 42 + 294 + 2058 + 7203 = 9604.