341

341 = 11 x 31.

341 is 101010101 in base 2 (binary). It is 11111 in base 4.

341 is an octagonal number and a centered cube number.

341 is the first composite number to disprove an ancient Chinese conjecture (circa 500 B.C.) that n is a prime number if and only if n divides the number 2ⁿ - 2. The number 2³⁴¹ - 2 is divisible by 341, a composite number. 341 is the smallest pseudoprime in base 2.

341 is the sum of seven consecutive primes: 341 = 37 + 41 + 43 + 47 + 53 + 59 + 61.

341 = 4⁰ + 4¹ + 4² + 4³ + 4⁴.

341 is the smallest number with seven representations as a sum of three positive squares: 341 = 1² + 4² + 18² = 1² + 12² + 14² = 2² + 9² + 16² = 4² + 6² + 17² = 4² + 10² + 15² = 6² + 7² + 16² = 8² + 9² + 14².

Source: Number Gossip