10034000 has 80 divisors (see below), whose sum is σ = 25243920. Its totient is φ = 3852800.

The previous prime is 10033999. The next prime is 10034009. The reversal of 10034000 is 43001.

It can be written as a sum of positive squares in 8 ways, for example, as 1201216 + 8832784 = 1096^2 + 2972^2 .

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 (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57914 + ... + 58086.

It is an arithmetic number, because the mean of its divisors is an integer number (315549).

Almost surely, 2^10034000 is an apocalyptic number.

10034000 is a gapful number since it is divisible by the number (10) 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 10034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621960).

10034000 is an abundant number, since it is smaller than the sum of its proper divisors (15209920).

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

10034000 is a wasteful number, since it uses less digits than its factorization.

10034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10034000 is about 3167.6489704511. The cubic root of 10034000 is about 215.6873620644.

Adding to 10034000 its reverse (43001), we get a palindrome (10077001).

Subtracting from 10034000 its reverse (43001), we obtain a palindrome (9990999).

The spelling of 10034000 in words is "ten million, thirty-four thousand".