34014240 has 288 divisors, whose sum is σ = 132088320. Its totient is φ = 7907328.

The previous prime is 34014221. The next prime is 34014259. The reversal of 34014240 is 4241043.

It is an interprime number because it is at equal distance from previous prime (34014221) and next prime (34014259).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430521 + ... + 430599.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^34014240 is an apocalyptic number.

34014240 is a gapful number since it is divisible by the number (30) 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 34014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

34014240 is an abundant number, since it is smaller than the sum of its proper divisors (98074080).

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

34014240 is a wasteful number, since it uses less digits than its factorization.

34014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34014240 is about 5832.1728369451. The cubic root of 34014240 is about 324.0064013367.

Adding to 34014240 its reverse (4241043), we get a palindrome (38255283).

The spelling of 34014240 in words is "thirty-four million, fourteen thousand, two hundred forty".