34218144 has 144 divisors (see below), whose sum is σ = 107026920. Its totient is φ = 10321920.

The previous prime is 34218143. The next prime is 34218157. The reversal of 34218144 is 44181243.

It can be written as a sum of positive squares in 4 ways, for example, as 33872400 + 345744 = 5820^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34218143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141864 + ... + 142104.

Almost surely, 2^34218144 is an apocalyptic number.

34218144 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 34218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513460).

34218144 is an abundant number, since it is smaller than the sum of its proper divisors (72808776).

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

34218144 is a wasteful number, since it uses less digits than its factorization.

34218144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34218144 is about 5849.6276804597. The cubic root of 34218144 is about 324.6525485997.

Adding to 34218144 its reverse (44181243), we get a palindrome (78399387).

It can be divided in two parts, 342181 and 44, that added together give a square (342225 = 585²).

The spelling of 34218144 in words is "thirty-four million, two hundred eighteen thousand, one hundred forty-four".