9034000 has 40 divisors (see below), whose sum is σ = 21849048. Its totient is φ = 3612800.

The previous prime is 9033991. The next prime is 9034007. The reversal of 9034000 is 4309.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 6370576 = 1632^2 + 2524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9034000² = 163226312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (9034007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 4258.

Almost surely, 2^9034000 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 9034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924524).

9034000 is an abundant number, since it is smaller than the sum of its proper divisors (12815048).

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

9034000 is a wasteful number, since it uses less digits than its factorization.

9034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 9034000 is about 3005.6613249001. The cubic root of 9034000 is about 208.2699896312.

Adding to 9034000 its reverse (4309), we get a palindrome (9038309).

The spelling of 9034000 in words is "nine million, thirty-four thousand".