354240306 has 72 divisors (see below), whose sum is σ = 897887484. Its totient is φ = 100638720.

The previous prime is 354240301. The next prime is 354240343. The reversal of 354240306 is 603042453.

354240306 is a `hidden beast` number, since 354 + 2 + 4 + 0 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 340734681 + 13505625 = 18459^2 + 3675^2 .

It is a super-3 number, since 3×354240306³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354240306.

It is not an unprimeable number, because it can be changed into a prime (354240301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169186 + ... + 171266.

Almost surely, 2^354240306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354240306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448943742).

354240306 is an abundant number, since it is smaller than the sum of its proper divisors (543647178).

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

354240306 is a wasteful number, since it uses less digits than its factorization.

354240306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 354240306 is about 18821.2726987311. The cubic root of 354240306 is about 707.5644285327.

Adding to 354240306 its reverse (603042453), we get a palindrome (957282759).

The spelling of 354240306 in words is "three hundred fifty-four million, two hundred forty thousand, three hundred six".