34815340 has 48 divisors (see below), whose sum is σ = 84168000. Its totient is φ = 11849472.

The previous prime is 34815311. The next prime is 34815343. The reversal of 34815340 is 4351843.

34815340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

34815340 is a nontrivial binomial coefficient, being equal to C(8345, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34815299 and 34815308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34815343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20026 + ... + 21694.

It is an arithmetic number, because the mean of its divisors is an integer number (1753500).

Almost surely, 2^34815340 is an apocalyptic number.

34815340 is the 8344-th triangular number.

34815340 is the 2782-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34815340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42084000).

34815340 is an abundant number, since it is smaller than the sum of its proper divisors (49352660).

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

34815340 is a wasteful number, since it uses less digits than its factorization.

34815340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 34815340 is about 5900.4525250187. The cubic root of 34815340 is about 326.5303448037.

The spelling of 34815340 in words is "thirty-four million, eight hundred fifteen thousand, three hundred forty".