10340 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 3680.

The previous prime is 10337. The next prime is 10343. The reversal of 10340 is 4301.

Added to its reverse (4301) it gives a 4-th power (14641 = 11⁴).

10340 = T₁₉ + T₂₀ + ... + T₄₀.

It is an interprime number because it is at equal distance from previous prime (10337) and next prime (10343).

It is not an unprimeable number, because it can be changed into a prime (10343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁰³⁴⁰ is an apocalyptic number.

10340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10340 is an abundant number, since it is smaller than the sum of its proper divisors (13852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10340 is a wasteful number, since it uses less digits than its factorization.

10340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10340 is about 101.6857905511. The cubic root of 10340 is about 21.7858000278.

Adding to 10340 its reverse (4301), we get a palindrome (14641).

The spelling of 10340 in words is "ten thousand, three hundred forty", and thus it is an iban number.