340956 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 86400.

The previous prime is 340939. The next prime is 340957. The reversal of 340956 is 659043.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340957) by changing a digit.

340956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8296 + ... + 8336.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2³⁴⁰⁹⁵⁶ is an apocalyptic number.

340956 is a gapful number since it is divisible by the number (36) 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 340956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

340956 is an abundant number, since it is smaller than the sum of its proper divisors (788004).

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

340956 is a wasteful number, since it uses less digits than its factorization.

340956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 340956 is about 583.9143772849. The cubic root of 340956 is about 69.8606752595.

Adding to 340956 its reverse (659043), we get a palindrome (999999).

It can be divided in two parts, 340 and 956, that added together give a 4-th power (1296 = 6⁴).

The spelling of 340956 in words is "three hundred forty thousand, nine hundred fifty-six".