34314048 has 84 divisors (see below), whose sum is σ = 100823268. Its totient is φ = 11151360.

The previous prime is 34314037. The next prime is 34314061. The reversal of 34314048 is 84041343.

It can be written as a sum of positive squares in 2 ways, for example, as 18249984 + 16064064 = 4272^2 + 4008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22890 + ... + 24342.

It is an arithmetic number, because the mean of its divisors is an integer number (1200277).

Almost surely, 2^34314048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411634).

34314048 is an abundant number, since it is smaller than the sum of its proper divisors (66509220).

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

34314048 is a wasteful number, since it uses less digits than its factorization.

34314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34314048 is about 5857.8193894998. The cubic root of 34314048 is about 324.9555694686.

The spelling of 34314048 in words is "thirty-four million, three hundred fourteen thousand, forty-eight".