9434000 has 80 divisors (see below), whose sum is σ = 23502960. Its totient is φ = 3660800.

The previous prime is 9433987. The next prime is 9434003. The reversal of 9434000 is 4349.

It can be written as a sum of positive squares in 8 ways, for example, as 3519376 + 5914624 = 1876^2 + 2432^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9434003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105956 + ... + 106044.

It is an arithmetic number, because the mean of its divisors is an integer number (293787).

Almost surely, 2^9434000 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 9434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751480).

9434000 is an abundant number, since it is smaller than the sum of its proper divisors (14068960).

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

9434000 is a wasteful number, since it uses less digits than its factorization.

9434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 9434000 is about 3071.4817271148. The cubic root of 9434000 is about 211.2995752142.

Adding to 9434000 its reverse (4349), we get a palindrome (9438349).

The spelling of 9434000 in words is "nine million, four hundred thirty-four thousand".