Search a number
-
+
41345344 = 261135717
BaseRepresentation
bin1001110110111…
…0000101000000
32212210120011001
42131232011000
541041022334
64034101344
71011300235
oct235560500
985716131
1041345344
112137a407
1211a1a854
138748001
1456c378c
15396a714
hex276e140

41345344 has 28 divisors (see below), whose sum is σ = 82785204. Its totient is φ = 20486144.

The previous prime is 41345341. The next prime is 41345347. The reversal of 41345344 is 44354314.

It is an interprime number because it is at equal distance from previous prime (41345341) and next prime (41345347).

It can be written as a sum of positive squares in 2 ways, for example, as 9535744 + 31809600 = 3088^2 + 5640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4374 + ... + 10090.

Almost surely, 241345344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392602).

41345344 is an abundant number, since it is smaller than the sum of its proper divisors (41439860).

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

41345344 is a wasteful number, since it uses less digits than its factorization.

41345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5832 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 41345344 is about 6430.0345255683. The cubic root of 41345344 is about 345.7871657085.

Adding to 41345344 its reverse (44354314), we get a palindrome (85699658).

The spelling of 41345344 in words is "forty-one million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 5717 7232 11434 22868 45736 91472 182944 365888 646021 1292042 2584084 5168168 10336336 20672672 41345344