10434000 has 160 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 2649600.

The previous prime is 10433987. The next prime is 10434029. The reversal of 10434000 is 43401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 221977 + ... + 222023.

Almost surely, 2^10434000 is an apocalyptic number.

10434000 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 10434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

10434000 is an abundant number, since it is smaller than the sum of its proper divisors (24849456).

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

10434000 is a wasteful number, since it uses less digits than its factorization.

10434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10434000 is about 3230.1702741496. The cubic root of 10434000 is about 218.5161855469.

Adding to 10434000 its reverse (43401), we get a palindrome (10477401).

The spelling of 10434000 in words is "ten million, four hundred thirty-four thousand".