4234000 has 80 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 1612800.

The previous prime is 4233989. The next prime is 4234007. The reversal of 4234000 is 4324.

It can be written as a sum of positive squares in 8 ways, for example, as 1192464 + 3041536 = 1092^2 + 1744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4234007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57964 + ... + 58036.

It is an arithmetic number, because the mean of its divisors is an integer number (134199).

Almost surely, 2^4234000 is an apocalyptic number.

4234000 is a gapful number since it is divisible by the number (40) 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 4234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

4234000 is an abundant number, since it is smaller than the sum of its proper divisors (6501920).

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

4234000 is a wasteful number, since it uses less digits than its factorization.

4234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4234000 is about 2057.6685836159. The cubic root of 4234000 is about 161.7770646853. Note that the first 3 decimals are identical.

Adding to 4234000 its reverse (4324), we get a palindrome (4238324).

The spelling of 4234000 in words is "four million, two hundred thirty-four thousand".