Search a number
-
+
40344660 = 22325534229
BaseRepresentation
bin1001100111100…
…1110001010100
32210220201110200
42121321301110
540312012120
64000420500
7666631626
oct231716124
983821420
1040344660
11208565a4
1211617730
1384876a5
145502c16
15381de90
hex2679c54

40344660 has 72 divisors (see below), whose sum is σ = 124717320. Its totient is φ = 10553088.

The previous prime is 40344643. The next prime is 40344683. The reversal of 40344660 is 6644304.

It is a happy number.

40344660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20684304 + 19660356 = 4548^2 + 4434^2 .

It is a super-3 number, since 3×403446603 (a number of 24 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7426 + ... + 11654.

It is an arithmetic number, because the mean of its divisors is an integer number (1732185).

Almost surely, 240344660 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 40344660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62358660).

40344660 is an abundant number, since it is smaller than the sum of its proper divisors (84372660).

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

40344660 is a wasteful number, since it uses less digits than its factorization.

40344660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40344660 is about 6351.7446422223. The cubic root of 40344660 is about 342.9746487113.

Adding to 40344660 its reverse (6644304), we get a palindrome (46988964).

The spelling of 40344660 in words is "forty million, three hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4229 4770 8458 9540 12687 16916 21145 25374 38061 42290 50748 63435 76122 84580 126870 152244 190305 224137 253740 380610 448274 672411 761220 896548 1120685 1344822 2017233 2241370 2689644 3362055 4034466 4482740 6724110 8068932 10086165 13448220 20172330 40344660