10291344 has 80 divisors (see below), whose sum is σ = 30771840. Its totient is φ = 2903040.

The previous prime is 10291297. The next prime is 10291357. The reversal of 10291344 is 44319201.

It is a super-2 number, since 2×10291344² = 211823522652672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36484 + ... + 36764.

It is an arithmetic number, because the mean of its divisors is an integer number (384648).

Almost surely, 2^10291344 is an apocalyptic number.

10291344 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 10291344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385920).

10291344 is an abundant number, since it is smaller than the sum of its proper divisors (20480496).

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

10291344 is a wasteful number, since it uses less digits than its factorization.

10291344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10291344 is about 3208.0124688037. The cubic root of 10291344 is about 217.5157446655.

It can be divided in two parts, 1029 and 1344, that multiplied together give a square (1382976 = 1176²).

The spelling of 10291344 in words is "ten million, two hundred ninety-one thousand, three hundred forty-four".