343954116 has 81 divisors (see below), whose sum is σ = 959078029. Its totient is φ = 103857600.

The previous prime is 343954111. The next prime is 343954139. The reversal of 343954116 is 611459343.

The square root of 343954116 is 18546.

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

It can be written as a sum of positive squares in only one way, i.e., 232440516 + 111513600 = 15246^2 + 10560^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343954111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1223896 + ... + 1224176.

Almost surely, 2^343954116 is an apocalyptic number.

343954116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

343954116 is the 18546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343954116

343954116 is an abundant number, since it is smaller than the sum of its proper divisors (615123913).

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

343954116 is a wasteful number, since it uses less digits than its factorization.

343954116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 343954116 is about 700.6484576075.

Multiplying 343954116 by its sum of digits (36), we get a square (12382348176 = 111276²).

343954116 divided by its sum of digits (36) gives a square (9554281 = 3091²).

It can be divided in two parts, 343 and 954116, that added together give a palindrome (954459).

The spelling of 343954116 in words is "three hundred forty-three million, nine hundred fifty-four thousand, one hundred sixteen".