Search a number
-
+
404104040 = 23599710133
BaseRepresentation
bin11000000101100…
…010001101101000
31001011101121112022
4120011202031220
51311422312130
6104033204012
713004553614
oct3005421550
91034347468
10404104040
1119811938a
12b3400608
136594a622
143b952344
15257247e5
hex18162368

404104040 has 32 divisors (see below), whose sum is σ = 910235880. Its totient is φ = 161463552.

The previous prime is 404104031. The next prime is 404104049. The reversal of 404104040 is 40401404.

It is an interprime number because it is at equal distance from previous prime (404104031) and next prime (404104049).

It can be written as a sum of positive squares in 4 ways, for example, as 400080004 + 4024036 = 20002^2 + 2006^2 .

It is not an unprimeable number, because it can be changed into a prime (404104049) 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, 34814 + ... + 44946.

Almost surely, 2404104040 is an apocalyptic number.

404104040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404104040 is an abundant number, since it is smaller than the sum of its proper divisors (506131840).

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

404104040 is a wasteful number, since it uses less digits than its factorization.

404104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 404104040 is about 20102.3391673705. The cubic root of 404104040 is about 739.3176324746.

Adding to 404104040 its reverse (40401404), we get a palindrome (444505444).

The spelling of 404104040 in words is "four hundred four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 997 1994 3988 4985 7976 9970 10133 19940 20266 39880 40532 50665 81064 101330 202660 405320 10102601 20205202 40410404 50513005 80820808 101026010 202052020 404104040