34013124 has 72 divisors (see below), whose sum is σ = 91891800. Its totient is φ = 10570752.

The previous prime is 34013099. The next prime is 34013131. The reversal of 34013124 is 42131043.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 30140100 = 1968^2 + 5490^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34013097 and 34013106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91002 + ... + 91374.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 2^34013124 is an apocalyptic number.

34013124 is a gapful number since it is divisible by the number (34) 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 34013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945900).

34013124 is an abundant number, since it is smaller than the sum of its proper divisors (57878676).

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

34013124 is a wasteful number, since it uses less digits than its factorization.

34013124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34013124 is about 5832.0771599834. The cubic root of 34013124 is about 324.0028577709.

Adding to 34013124 its reverse (42131043), we get a palindrome (76144167).

The spelling of 34013124 in words is "thirty-four million, thirteen thousand, one hundred twenty-four".