34148268 has 144 divisors (see below), whose sum is σ = 109584384. Its totient is φ = 8709120.

The previous prime is 34148243. The next prime is 34148281. The reversal of 34148268 is 86284143.

It is a super-2 number, since 2×34148268² = 2332208414799648, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 268821 + ... + 268947.

Almost surely, 2^34148268 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 34148268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54792192).

34148268 is an abundant number, since it is smaller than the sum of its proper divisors (75436116).

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

34148268 is a wasteful number, since it uses less digits than its factorization.

34148268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34148268 is about 5843.6519403537. The cubic root of 34148268 is about 324.4314097715.

The spelling of 34148268 in words is "thirty-four million, one hundred forty-eight thousand, two hundred sixty-eight".