4117344 has 96 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 1067520.

The previous prime is 4117339. The next prime is 4117409. The reversal of 4117344 is 4437114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4117344² = 33905043228672, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 7114 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^4117344 is an apocalyptic number.

4117344 is a gapful number since it is divisible by the number (44) 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 4117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

4117344 is an abundant number, since it is smaller than the sum of its proper divisors (9381792).

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

4117344 is a wasteful number, since it uses less digits than its factorization.

4117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 4117344 is about 2029.1239489001. The cubic root of 4117344 is about 160.2774353239.

The spelling of 4117344 in words is "four million, one hundred seventeen thousand, three hundred forty-four".