1033342416 has 120 divisors (see below), whose sum is σ = 3083675400. Its totient is φ = 321896448.

The previous prime is 1033342403. The next prime is 1033342451. The reversal of 1033342416 is 6142433301.

It can be written as a sum of positive squares in 4 ways, for example, as 72590400 + 960752016 = 8520^2 + 30996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1033342416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363336 + ... + 366168.

It is an arithmetic number, because the mean of its divisors is an integer number (25697295).

Almost surely, 2^1033342416 is an apocalyptic number.

1033342416 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 1033342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541837700).

1033342416 is an abundant number, since it is smaller than the sum of its proper divisors (2050332984).

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

1033342416 is a wasteful number, since it uses less digits than its factorization.

1033342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1033342416 is about 32145.6438106316. The cubic root of 1033342416 is about 1010.9928530461.

Adding to 1033342416 its reverse (6142433301), we get a palindrome (7175775717).

The spelling of 1033342416 in words is "one billion, thirty-three million, three hundred forty-two thousand, four hundred sixteen".