13348296 has 72 divisors (see below), whose sum is σ = 39182130. Its totient is φ = 4103424.

The previous prime is 13348277. The next prime is 13348327. The reversal of 13348296 is 69284331.

13348296 = T₈₁ + T₈₂ + ... + T₄₃₁.

It can be written as a sum of positive squares in 3 ways, for example, as 5225796 + 8122500 = 2286^2 + 2850^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13348296² = 356354012207232, 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 13348296.

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 17 ways as a sum of consecutive naturals, for example, 11620 + ... + 12716.

Almost surely, 2^13348296 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 13348296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591065).

13348296 is an abundant number, since it is smaller than the sum of its proper divisors (25833834).

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

13348296 is a wasteful number, since it uses less digits than its factorization.

13348296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13348296 is about 3653.5319897327. The cubic root of 13348296 is about 237.2148881547.

The spelling of 13348296 in words is "thirteen million, three hundred forty-eight thousand, two hundred ninety-six".