10344420 has 72 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 2726400.

The previous prime is 10344419. The next prime is 10344437. The reversal of 10344420 is 2444301.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 8538084 = 1344^2 + 2922^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10344393 and 10344402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17896 + ... + 18464.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 2^10344420 is an apocalyptic number.

10344420 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 10344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

10344420 is an abundant number, since it is smaller than the sum of its proper divisors (21400020).

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

10344420 is a wasteful number, since it uses less digits than its factorization.

10344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10344420 is about 3216.2742420384. The cubic root of 10344420 is about 217.8890381630.

Adding to 10344420 its reverse (2444301), we get a palindrome (12788721).

The spelling of 10344420 in words is "ten million, three hundred forty-four thousand, four hundred twenty".