34241424 has 80 divisors (see below), whose sum is σ = 102195840. Its totient is φ = 9676800.

The previous prime is 34241419. The next prime is 34241429. The reversal of 34241424 is 42414243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34241419) and next prime (34241429).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 a junction number, because it is equal to n+sod(n) for n = 34241394 and 34241403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33432 + ... + 34440.

It is an arithmetic number, because the mean of its divisors is an integer number (1277448).

Almost surely, 2^34241424 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 34241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51097920).

34241424 is an abundant number, since it is smaller than the sum of its proper divisors (67954416).

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

34241424 is a wasteful number, since it uses less digits than its factorization.

34241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34241424 is about 5851.6172123610. The cubic root of 34241424 is about 324.7261567026.

Adding to 34241424 its reverse (42414243), we get a palindrome (76655667).

The spelling of 34241424 in words is "thirty-four million, two hundred forty-one thousand, four hundred twenty-four".