1833342336 has 160 divisors (see below), whose sum is σ = 6235672080. Its totient is φ = 523791360.

The previous prime is 1833342317. The next prime is 1833342349. The reversal of 1833342336 is 6332433381.

It is a super-2 number, since 2×1833342336² = 6722288241939873792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1833342336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59946 + ... + 85206.

Almost surely, 2^1833342336 is an apocalyptic number.

1833342336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1833342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117836040).

1833342336 is an abundant number, since it is smaller than the sum of its proper divisors (4402329744).

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

1833342336 is an equidigital number, since it uses as much as digits as its factorization.

1833342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25294 (or 25273 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1833342336 is about 42817.5470572521. The cubic root of 1833342336 is about 1223.9054136828.

The spelling of 1833342336 in words is "one billion, eight hundred thirty-three million, three hundred forty-two thousand, three hundred thirty-six".