10344400 has 60 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 3760000.

The previous prime is 10344377. The next prime is 10344403. The reversal of 10344400 is 444301.

It is a super-2 number, since 2×10344400² = 214013222720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3225 + ... + 5575.

Almost surely, 2^10344400 is an apocalyptic number.

10344400 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 10344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

10344400 is an abundant number, since it is smaller than the sum of its proper divisors (16778864).

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

10344400 is a wasteful number, since it uses less digits than its factorization.

10344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10344400 is about 3216.2711328493. The cubic root of 10344400 is about 217.8888977400. Note that the first 4 decimals are identical.

Adding to 10344400 its reverse (444301), we get a palindrome (10788701).

Subtracting from 10344400 its reverse (444301), we obtain a palindrome (9900099).

It can be divided in two parts, 10 and 344400, that multiplied together give a triangular number (3444000 = T₂₆₂₄).

The spelling of 10344400 in words is "ten million, three hundred forty-four thousand, four hundred".