10249344 has 192 divisors, whose sum is σ = 35642880. Its totient is φ = 2764800.

The previous prime is 10249331. The next prime is 10249363. The reversal of 10249344 is 44394201.

It is a tau number, because it is divible by the number of its divisors (192).

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, 249964 + ... + 250004.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 2^10249344 is an apocalyptic number.

10249344 is a gapful number since it is divisible by the number (14) 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 10249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

10249344 is an abundant number, since it is smaller than the sum of its proper divisors (25393536).

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

10249344 is a wasteful number, since it uses less digits than its factorization.

10249344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10249344 is about 3201.4596670894. The cubic root of 10249344 is about 217.2194400760.

The spelling of 10249344 in words is "ten million, two hundred forty-nine thousand, three hundred forty-four".