Search a number
-
+
40334544 = 2433731279
BaseRepresentation
bin1001100111011…
…1010011010000
32210220012121000
42121313103100
540311201134
64000302000
7666560265
oct231672320
983805530
1040334544
1120849a38
1211611900
138482bc3
1454dd26c
15381ae99
hex26774d0

40334544 has 80 divisors (see below), whose sum is σ = 117452800. Its totient is φ = 13250304.

The previous prime is 40334527. The next prime is 40334561. The reversal of 40334544 is 44543304.

40334544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40334527) and next prime (40334561).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30897 + ... + 32175.

It is an arithmetic number, because the mean of its divisors is an integer number (1468160).

Almost surely, 240334544 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 40334544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58726400).

40334544 is an abundant number, since it is smaller than the sum of its proper divisors (77118256).

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

40334544 is a wasteful number, since it uses less digits than its factorization.

40334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 40334544 is about 6350.9482756514. The cubic root of 40334544 is about 342.9459805507.

Adding to 40334544 its reverse (44543304), we get a palindrome (84877848).

The spelling of 40334544 in words is "forty million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1279 1314 1752 1971 2558 2628 3504 3837 3942 5116 5256 7674 7884 10232 10512 11511 15348 15768 20464 23022 30696 31536 34533 46044 61392 69066 92088 93367 138132 184176 186734 276264 280101 373468 552528 560202 746936 840303 1120404 1493872 1680606 2240808 2520909 3361212 4481616 5041818 6722424 10083636 13444848 20167272 40334544