8340

8340 is a positive integer that falls within the range of four-digit numbers in common decimal notation. It is even and greater than 1, and it lies between 8339 and 8341.

In number theory terms, the prime factorization of 8340 is 2^2 × 3 × 5 × 139. This factorization implies a total of 24 divisors. It is divisible by small integers such as 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, among others, as well as by the factors 139, 278, 417, and 8340 itself. A convenient expression of 8340 is 60 × 139.

8340 is an abundant number. The sum of its proper divisors equals 15180, which is greater than 8340, indicating abundance. It is also a Harshad (Niven) number in base 10, since the sum of its digits is 8 + 3 + 4 + 0 = 15, and 8340 is divisible by 15 (8340 ÷ 15 = 556). The overall sum of all divisors is 23520.

In common numeral systems, 8340 is represented as follows: decimal 8340; hexadecimal 0x2094; binary 10000010010100; octal 20224.

There is no widely recognized historical or cultural significance attached specifically to 8340. Like many integers, it serves as an example in arithmetic discussions, illustrating properties such as factorization, divisor count, abundance, and digit-based divisibility.