Search a number
-
+
1312404338 = 27229538713
BaseRepresentation
bin100111000111001…
…1011001101110010
310101110112001022002
41032032123031302
510141433414323
6334121214002
744344152500
oct11616331562
93343461262
101312404338
116138aa893
12307631302
1317bb8c01b
14c642d670
157a340828
hex4e39b372

1312404338 has 48 divisors (see below), whose sum is σ = 2413952280. Its totient is φ = 532756224.

The previous prime is 1312404337. The next prime is 1312404341. The reversal of 1312404338 is 8334042131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1310222809 + 2181529 = 36197^2 + 1477^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1312404338.

It is not an unprimeable number, because it can be changed into a prime (1312404337) 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, 146270 + ... + 154982.

Almost surely, 21312404338 is an apocalyptic number.

1312404338 is a deficient number, since it is larger than the sum of its proper divisors (1101547942).

1312404338 is a wasteful number, since it uses less digits than its factorization.

1312404338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1312404338 is about 36227.1215803850. The cubic root of 1312404338 is about 1094.8531840997.

Adding to 1312404338 its reverse (8334042131), we get a palindrome (9646446469).

The spelling of 1312404338 in words is "one billion, three hundred twelve million, four hundred four thousand, three hundred thirty-eight".

Divisors: 1 2 7 14 29 49 53 58 98 106 203 371 406 742 1421 1537 2597 2842 3074 5194 8713 10759 17426 21518 60991 75313 121982 150626 252677 426937 461789 505354 853874 923578 1768739 3232523 3537478 6465046 12381173 13391881 22627661 24762346 26783762 45255322 93743167 187486334 656202169 1312404338