
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]


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The integer 9 can be expressed as the sum of two consecutive integers, \( 9 = 4 + 5 \). Additionally, 9 can be written in two different ways as the sum of consecutive natural numbers \( 9 = 4 + 5 = 2 + 3 + 4 \).

Is there a natural number \( N \) such that:
(1) It is the sum of 1990 consecutive integers; and 
(2) It can be expressed as the sum of consecutive integers in exactly 1990 different ways. 

(Note: This problem is from the 31st International Mathematical Olympiad, Preliminary Round, 1990.)

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