Search a number
-
+
1343335005 = 3251371931129
BaseRepresentation
bin101000000010001…
…1010101001011101
310110121201111012100
41100010122221131
510222343210010
6341144155313
745201105405
oct12004325135
93417644170
101343335005
1162a306521
12315a68b39
131853cb7ac
14ca5a1805
157ce002c0
hex5011aa5d

1343335005 has 48 divisors (see below), whose sum is σ = 2359684080. Its totient is φ = 706904064.

The previous prime is 1343335001. The next prime is 1343335043. The reversal of 1343335005 is 5005333431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 210743289 + 1132591716 = 14517^2 + 33654^2 .

It is not a de Polignac number, because 1343335005 - 22 = 1343335001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1343335005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343335001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1189281 + ... + 1190409.

It is an arithmetic number, because the mean of its divisors is an integer number (49160085).

Almost surely, 21343335005 is an apocalyptic number.

1343335005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1343335005 is a deficient number, since it is larger than the sum of its proper divisors (1016349075).

1343335005 is a wasteful number, since it uses less digits than its factorization.

1343335005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1343335005 is about 36651.5348246155. The cubic root of 1343335005 is about 1103.3876295349.

Adding to 1343335005 its reverse (5005333431), we get a palindrome (6348668436).

The spelling of 1343335005 in words is "one billion, three hundred forty-three million, three hundred thirty-five thousand, five".

Divisors: 1 3 5 9 15 45 137 193 411 579 685 965 1129 1233 1737 2055 2895 3387 5645 6165 8685 10161 16935 26441 50805 79323 132205 154673 217897 237969 396615 464019 653691 773365 1089485 1189845 1392057 1961073 2320095 3268455 6960285 9805365 29851889 89555667 149259445 268667001 447778335 1343335005