10354240 has 112 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 3594240.

The previous prime is 10354231. The next prime is 10354261. The reversal of 10354240 is 4245301.

It is a super-3 number, since 3×10354240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 15 ways as a sum of consecutive naturals, for example, 78975 + ... + 79105.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 2^10354240 is an apocalyptic number.

10354240 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 10354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

10354240 is an abundant number, since it is smaller than the sum of its proper divisors (17809280).

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

10354240 is a wasteful number, since it uses less digits than its factorization.

10354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10354240 is about 3217.8004910187. The cubic root of 10354240 is about 217.9579640072.

Adding to 10354240 its reverse (4245301), we get a palindrome (14599541).

The spelling of 10354240 in words is "ten million, three hundred fifty-four thousand, two hundred forty".