3400306 has 48 divisors (see below), whose sum is σ = 6808536. Its totient is φ = 1257984.

The previous prime is 3400303. The next prime is 3400333. The reversal of 3400306 is 6030043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2480625 + 919681 = 1575^2 + 959^2 .

3400306 is a modest number, since divided by 306 gives 34 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3400306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21580 + ... + 21736.

Almost surely, 2^3400306 is an apocalyptic number.

3400306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3400306 is a wasteful number, since it uses less digits than its factorization.

3400306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3400306 is about 1843.9918654918. The cubic root of 3400306 is about 150.3739705690.

Adding to 3400306 its reverse (6030043), we get a palindrome (9430349).

It can be divided in two parts, 3400 and 306, that multiplied together give a square (1040400 = 1020²).

The spelling of 3400306 in words is "three million, four hundred thousand, three hundred six".