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343 = 73

343 has 4 divisors (see below), whose sum is σ = 400. Its totient is φ = 294.

The previous prime is 337. The next prime is 347.

The cubic root of 343 is 7.

It is a perfect power (a cube), and thus also a powerful number.

343 is nontrivially palindromic in base 6, base 10 and base 11.

343 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 343 - 25 = 311 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is the 19-th Hogben number.

It is a Duffinian number.

343 is an undulating number in base 10 and base 11.

It is a plaindrome in base 4, base 5, base 12, base 15 and base 16.

It is a nialpdrome in base 7 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347) by changing a digit.

It is a nontrivial repunit in base 18.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 52.

It is an arithmetic number, because the mean of its divisors is an integer number (100).

343 is a Friedman number, since it can be written as (4+3)^3, using all its digits and the basic arithmetic operations.

343 is a deficient number, since it is larger than the sum of its proper divisors (57).

343 is an frugal number, since it uses more digits than its factorization.

343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21 (or 7 counting only the distinct ones).

The product of its digits is 36, while the sum is 10.

The square root of 343 is about 18.5202591775.

Adding to 343 its sum of digits (10), we get a palindrome (353).

Subtracting from 343 its sum of digits (10), we obtain a palindrome (333).

The spelling of 343 in words is "three hundred forty-three", and thus it is an aban number and an iban number.

Divisors: 1 7 49 343