Next in the Series

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?




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Steffi's daughter Jazelle needs to be picked up from school every day.
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In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
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BBDCAA
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ABDBAA
------- +
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What does the complete addition look like in digits?

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Half Filled barrel

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.