34249104 has 60 divisors (see below), whose sum is σ = 98204652. Its totient is φ = 11136000.

The previous prime is 34249099. The next prime is 34249109. The reversal of 34249104 is 40194243.

It is an interprime number because it is at equal distance from previous prime (34249099) and next prime (34249109).

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 15586704 = 4320^2 + 3948^2 .

It is a super-2 number, since 2×34249104² = 2346002249605632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34249109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3004 + ... + 8804.

Almost surely, 2^34249104 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 34249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49102326).

34249104 is an abundant number, since it is smaller than the sum of its proper divisors (63955548).

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

34249104 is a wasteful number, since it uses less digits than its factorization.

34249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34249104 is about 5852.2734044130. The cubic root of 34249104 is about 324.7504324692.

The spelling of 34249104 in words is "thirty-four million, two hundred forty-nine thousand, one hundred four".