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2014-11-13T12:24:12+05:30

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N is odd and have 4 different prime factors.
So even prime factor is not possible.
The smallest 4 prime odd prime numbers are 3,5,7 and 11.

approach-1:
√1400000 = 1183.33
so we need a number greater than or 1184
3×5×7×11 = 1155 <1184
3×5×7×11×3 = 1155×3 = 3465 > 1184 
So number smallest number is 3465

approach-2:
The smallest number with 3,5,7 and 11 as prime factors = 3×5×7×11 = 1155
1155² = 1334025 < 1400000
so the next smallest number is = (3×5×7×11)×3 = 1155×3 = 3465
3465² > 1400000


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