10349120 has 28 divisors (see below), whose sum is σ = 24644604. Its totient is φ = 4139520.

The previous prime is 10349113. The next prime is 10349123. The reversal of 10349120 is 2194301.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 8111104 = 1496^2 + 2848^2 .

It is a super-3 number, since 3×10349120³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10349092 and 10349101.

It is not an unprimeable number, because it can be changed into a prime (10349123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15851 + ... + 16490.

Almost surely, 2^10349120 is an apocalyptic number.

10349120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10349120 is an abundant number, since it is smaller than the sum of its proper divisors (14295484).

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

10349120 is an equidigital number, since it uses as much as digits as its factorization.

10349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32358 (or 32348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10349120 is about 3217.0048181500. The cubic root of 10349120 is about 217.9220325510.

The spelling of 10349120 in words is "ten million, three hundred forty-nine thousand, one hundred twenty".