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813345741 = 321341169553
BaseRepresentation
bin110000011110101…
…010101111001101
32002200110020121100
4300132222233031
53131204030431
6212412453313
726104216245
oct6036525715
92080406540
10813345741
1138812676a
121a847a239
13cc676590
147a040b25
154b6114e6
hex307aabcd

813345741 has 24 divisors (see below), whose sum is σ = 1296070776. Its totient is φ = 488309760.

The previous prime is 813345737. The next prime is 813345751. The reversal of 813345741 is 147543318.

It is a happy number.

813345741 is a `hidden beast` number, since 81 + 3 + 3 + 4 + 574 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43283241 + 770062500 = 6579^2 + 27750^2 .

It is not a de Polignac number, because 813345741 - 22 = 813345737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 813345696 and 813345705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813345721) 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, 79980 + ... + 89573.

It is an arithmetic number, because the mean of its divisors is an integer number (54002949).

Almost surely, 2813345741 is an apocalyptic number.

It is an amenable number.

813345741 is a deficient number, since it is larger than the sum of its proper divisors (482725035).

813345741 is a wasteful number, since it uses less digits than its factorization.

813345741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169613 (or 169610 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 813345741 is about 28519.2170474577. The cubic root of 813345741 is about 933.4514449023.

The spelling of 813345741 in words is "eight hundred thirteen million, three hundred forty-five thousand, seven hundred forty-one".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 169553 508659 1525977 2204189 6612567 6951673 19837701 20855019 62565057 90371749 271115247 813345741