83430424 has 128 divisors (see below), whose sum is σ = 213995520. Its totient is φ = 29491200.

The previous prime is 83430401. The next prime is 83430433. The reversal of 83430424 is 42403438.

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 = 83430392 and 83430401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 324504 + ... + 324760.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 2^83430424 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 83430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106997760).

83430424 is an abundant number, since it is smaller than the sum of its proper divisors (130565096).

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

83430424 is a wasteful number, since it uses less digits than its factorization.

With its successor (83430425) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (325).

With its successor (83430425) it forms an eRAP, since the sums of their prime factors are consecutive (329 and 330).

83430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 83430424 is about 9134.0256185321. The cubic root of 83430424 is about 436.9597995510.

The spelling of 83430424 in words is "eighty-three million, four hundred thirty thousand, four hundred twenty-four".