Search a number
-
+
40314640 = 2452917377
BaseRepresentation
bin1001100111001…
…0011100010000
32210212012021211
42121302130100
540310032030
64000025504
7666445252
oct231623420
983765254
1040314640
1120835a93
1211602294
138476b22
1454d5cd2
15381512a
hex2672710

40314640 has 40 divisors (see below), whose sum is σ = 96969240. Its totient is φ = 15568896.

The previous prime is 40314563. The next prime is 40314643. The reversal of 40314640 is 4641304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 40144896 = 412^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314643) 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 7 ways as a sum of consecutive naturals, for example, 6369 + ... + 11008.

It is an arithmetic number, because the mean of its divisors is an integer number (2424231).

Almost surely, 240314640 is an apocalyptic number.

40314640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40314640 is an abundant number, since it is smaller than the sum of its proper divisors (56654600).

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

40314640 is a wasteful number, since it uses less digits than its factorization.

40314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 40314640 is about 6349.3810721991. The cubic root of 40314640 is about 342.8895597656.

Adding to 40314640 its reverse (4641304), we get a palindrome (44955944).

The spelling of 40314640 in words is "forty million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 17377 34754 69508 86885 139016 173770 278032 347540 503933 695080 1007866 1390160 2015732 2519665 4031464 5039330 8062928 10078660 20157320 40314640