34414248 has 64 divisors (see below), whose sum is σ = 95440320. Its totient is φ = 10252800.

The previous prime is 34414241. The next prime is 34414249. The reversal of 34414248 is 84241443.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34414241) 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 15 ways as a sum of consecutive naturals, for example, 15036 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (1491255).

Almost surely, 2^34414248 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 34414248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47720160).

34414248 is an abundant number, since it is smaller than the sum of its proper divisors (61026072).

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

34414248 is a wasteful number, since it uses less digits than its factorization.

34414248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2214 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 34414248 is about 5866.3658256198. The cubic root of 34414248 is about 325.2715615871.

The spelling of 34414248 in words is "thirty-four million, four hundred fourteen thousand, two hundred forty-eight".