Search a number
-
+
3013040412 = 22323117915083
BaseRepresentation
bin1011001110010111…
…0101100100011100
321202222120022102100
42303211311210130
522132314243122
61214551525100
7134444264244
oct26345654434
97688508370
103013040412
111306867948
12701089790
133902cbc65
1420823cb24
151297bcaac
hexb397591c

3013040412 has 72 divisors (see below), whose sum is σ = 7906429440. Its totient is φ = 966454560.

The previous prime is 3013040389. The next prime is 3013040417. The reversal of 3013040412 is 2140403103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013040417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192223 + ... + 207305.

It is an arithmetic number, because the mean of its divisors is an integer number (109811520).

Almost surely, 23013040412 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 3013040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953214720).

3013040412 is an abundant number, since it is smaller than the sum of its proper divisors (4893389028).

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

3013040412 is a wasteful number, since it uses less digits than its factorization.

3013040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3013040412 is about 54891.1687979041. The cubic root of 3013040412 is about 1444.3362751231.

Adding to 3013040412 its reverse (2140403103), we get a palindrome (5153443515).

The spelling of 3013040412 in words is "three billion, thirteen million, forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 179 186 279 358 372 537 558 716 1074 1116 1611 2148 3222 5549 6444 11098 15083 16647 22196 30166 33294 45249 49941 60332 66588 90498 99882 135747 180996 199764 271494 467573 542988 935146 1402719 1870292 2699857 2805438 4208157 5399714 5610876 8099571 8416314 10799428 16199142 16832628 24298713 32398284 48597426 83695567 97194852 167391134 251086701 334782268 502173402 753260103 1004346804 1506520206 3013040412