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136344313 = 729412957
BaseRepresentation
bin10000010000001…
…11001011111001
3100111120000020101
420020013023321
5234401004223
621310155401
73243623200
oct1010071371
9314500211
10136344313
116aa65556
12397b2b61
132232a411
1414172237
15be834ad
hex82072f9

136344313 has 12 divisors (see below), whose sum is σ = 158826852. Its totient is φ = 116702880.

The previous prime is 136344289. The next prime is 136344337. The reversal of 136344313 is 313443631.

It is an interprime number because it is at equal distance from previous prime (136344289) and next prime (136344337).

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 82937449 = 7308^2 + 9107^2 .

It is not a de Polignac number, because 136344313 - 213 = 136336121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136344343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44631 + ... + 47587.

It is an arithmetic number, because the mean of its divisors is an integer number (13235571).

Almost surely, 2136344313 is an apocalyptic number.

It is an amenable number.

136344313 is a deficient number, since it is larger than the sum of its proper divisors (22482539).

136344313 is an equidigital number, since it uses as much as digits as its factorization.

136344313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3905 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 136344313 is about 11676.6567561096. The cubic root of 136344313 is about 514.6899355812.

Adding to 136344313 its reverse (313443631), we get a palindrome (449787944).

The spelling of 136344313 in words is "one hundred thirty-six million, three hundred forty-four thousand, three hundred thirteen".

Divisors: 1 7 49 941 2957 6587 20699 46109 144893 2782537 19477759 136344313