10349220 has 96 divisors (see below), whose sum is σ = 33981696. Its totient is φ = 2304000.

The previous prime is 10349203. The next prime is 10349231. The reversal of 10349220 is 2294301.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 16920 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (353976).

Almost surely, 2^10349220 is an apocalyptic number.

10349220 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 10349220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990848).

10349220 is an abundant number, since it is smaller than the sum of its proper divisors (23632476).

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

10349220 is a wasteful number, since it uses less digits than its factorization.

10349220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10349220 is about 3217.0203605200. The cubic root of 10349220 is about 217.9227344507.

The spelling of 10349220 in words is "ten million, three hundred forty-nine thousand, two hundred twenty".