34434312 has 128 divisors (see below), whose sum is σ = 100776960. Its totient is φ = 9701120.

The previous prime is 34434287. The next prime is 34434313. The reversal of 34434312 is 21343443.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (34434313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321763 + ... + 321869.

It is an arithmetic number, because the mean of its divisors is an integer number (787320).

Almost surely, 2^34434312 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 34434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388480).

34434312 is an abundant number, since it is smaller than the sum of its proper divisors (66342648).

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

34434312 is a wasteful number, since it uses less digits than its factorization.

34434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 34434312 is about 5868.0756641339. The cubic root of 34434312 is about 325.3347619678.

Adding to 34434312 its reverse (21343443), we get a palindrome (55777755).

The spelling of 34434312 in words is "thirty-four million, four hundred thirty-four thousand, three hundred twelve".