34431144 has 64 divisors (see below), whose sum is σ = 96223680. Its totient is φ = 10176000.

The previous prime is 34431101. The next prime is 34431151. The reversal of 34431144 is 44113443.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9234 + ... + 12414.

It is an arithmetic number, because the mean of its divisors is an integer number (1503495).

Almost surely, 2^34431144 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 34431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48111840).

34431144 is an abundant number, since it is smaller than the sum of its proper divisors (61792536).

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

34431144 is a wasteful number, since it uses less digits than its factorization.

34431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 34431144 is about 5867.8057227553. The cubic root of 34431144 is about 325.3247845928.

Adding to 34431144 its reverse (44113443), we get a palindrome (78544587).

The spelling of 34431144 in words is "thirty-four million, four hundred thirty-one thousand, one hundred forty-four".