10003400 has 48 divisors (see below), whose sum is σ = 25377840. Its totient is φ = 3636800.

The previous prime is 10003373. The next prime is 10003417. The reversal of 10003400 is 430001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74 + ... + 4473.

It is an arithmetic number, because the mean of its divisors is an integer number (528705).

Almost surely, 2^10003400 is an apocalyptic number.

10003400 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 10003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688920).

10003400 is an abundant number, since it is smaller than the sum of its proper divisors (15374440).

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

10003400 is a wasteful number, since it uses less digits than its factorization.

10003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4565 counting only the distinct ones).

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

The square root of 10003400 is about 3162.8152016835. The cubic root of 10003400 is about 215.4678831629.

Adding to 10003400 its reverse (430001), we get a palindrome (10433401).

The spelling of 10003400 in words is "ten million, three thousand, four hundred".