83434296 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 24161280.

The previous prime is 83434291. The next prime is 83434331. The reversal of 83434296 is 69243438.

It is a super-2 number, since 2×83434296² = 13922563498031232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83434291) 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, 937420 + ... + 937508.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^83434296 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 83434296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

83434296 is an abundant number, since it is smaller than the sum of its proper divisors (154511304).

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

83434296 is a wasteful number, since it uses less digits than its factorization.

83434296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 83434296 is about 9134.2375708102. The cubic root of 83434296 is about 436.9665592041.

It can be divided in two parts, 834342 and 96, that added together give a palindrome (834438).

The spelling of 83434296 in words is "eighty-three million, four hundred thirty-four thousand, two hundred ninety-six".