Search a number
-
+
41001344 = 273110333
BaseRepresentation
bin1001110001101…
…0000110000000
32212011002021022
42130122012000
540444020334
64022445012
71005335306
oct234320600
985132238
1041001344
1121164a0a
1211893768
138657567
145634276
1538ed82e
hex271a180

41001344 has 32 divisors (see below), whose sum is σ = 84325440. Its totient is φ = 19837440.

The previous prime is 41001319. The next prime is 41001347. The reversal of 41001344 is 44310014.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×410013443 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1199 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (2635170).

Almost surely, 241001344 is an apocalyptic number.

It is an amenable number.

41001344 is an abundant number, since it is smaller than the sum of its proper divisors (43324096).

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

41001344 is a wasteful number, since it uses less digits than its factorization.

41001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41001344 is about 6403.2291853408. The cubic root of 41001344 is about 344.8254918052.

Adding to 41001344 its reverse (44310014), we get a palindrome (85311358).

The spelling of 41001344 in words is "forty-one million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 10333 20666 41332 82664 165328 320323 330656 640646 661312 1281292 1322624 2562584 5125168 10250336 20500672 41001344