10345248 has 72 divisors (see below), whose sum is σ = 31164588. Its totient is φ = 3244032.

The previous prime is 10345207. The next prime is 10345249. The reversal of 10345248 is 84254301.

10345248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 535824 = 3132^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10345249) 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, 3840 + ... + 5952.

Almost surely, 2^10345248 is an apocalyptic number.

10345248 is a gapful number since it is divisible by the number (18) 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 10345248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582294).

10345248 is an abundant number, since it is smaller than the sum of its proper divisors (20819340).

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

10345248 is a wasteful number, since it uses less digits than its factorization.

10345248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10345248 is about 3216.4029598295. The cubic root of 10345248 is about 217.8948515165.

Adding to 10345248 its reverse (84254301), we get a palindrome (94599549).

The spelling of 10345248 in words is "ten million, three hundred forty-five thousand, two hundred forty-eight".