83400030 has 96 divisors (see below), whose sum is σ = 257048064. Its totient is φ = 19058976.

The previous prime is 83400017. The next prime is 83400041. The reversal of 83400030 is 3000438.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83399976 and 83400012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14559 + ... + 19461.

It is an arithmetic number, because the mean of its divisors is an integer number (2677584).

Almost surely, 2^83400030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128524032).

83400030 is an abundant number, since it is smaller than the sum of its proper divisors (173648034).

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

83400030 is a wasteful number, since it uses less digits than its factorization.

83400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83400030 is about 9132.3616879754. The cubic root of 83400030 is about 436.9067311035.

Adding to 83400030 its reverse (3000438), we get a palindrome (86400468).

The spelling of 83400030 in words is "eighty-three million, four hundred thousand, thirty".