
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Does there exist a natural number that, when divided by the sum of its digits, gives 2014 as both the quotient and the remainder? If there is more than one such number, write their sum as the answer. If no such number exists, write 0 as the answer.

Present the answer in LaTex format: \boxed{Your answer}
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