34040430 has 48 divisors (see below), whose sum is σ = 89041680. Its totient is φ = 9022464.

The previous prime is 34040423. The next prime is 34040471. The reversal of 34040430 is 3404043.

34040430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34040430³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15054 + ... + 17166.

It is an arithmetic number, because the mean of its divisors is an integer number (1855035).

Almost surely, 2^34040430 is an apocalyptic number.

34040430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44520840).

34040430 is an abundant number, since it is smaller than the sum of its proper divisors (55001250).

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

34040430 is a wasteful number, since it uses less digits than its factorization.

34040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34040430 is about 5834.4177087350. The cubic root of 34040430 is about 324.0895385822.

Adding to 34040430 its reverse (3404043), we get a palindrome (37444473).

The spelling of 34040430 in words is "thirty-four million, forty thousand, four hundred thirty".