34434309 has 48 divisors (see below), whose sum is σ = 59192448. Its totient is φ = 17635968.

The previous prime is 34434287. The next prime is 34434313. The reversal of 34434309 is 90343443.

It is not a de Polignac number, because 34434309 - 2¹² = 34430213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70464 + ... + 70950.

It is an arithmetic number, because the mean of its divisors is an integer number (1233176).

Almost surely, 2^34434309 is an apocalyptic number.

34434309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34434309 is a deficient number, since it is larger than the sum of its proper divisors (24758139).

34434309 is a wasteful number, since it uses less digits than its factorization.

34434309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 34434309 is about 5868.0754085134. The cubic root of 34434309 is about 325.3347525198.

It can be divided in two parts, 34434 and 309, that added together give a palindrome (34743).

The spelling of 34434309 in words is "thirty-four million, four hundred thirty-four thousand, three hundred nine".