Search a number
-
+
3034535381046 = 236131737359709
BaseRepresentation
bin101100001010001000011…
…001110100100000110110
3101202002122222200102000000
4230022020121310200312
5344204212024143141
610242014000332130
7432144421103151
oct54121031644066
911662588612000
103034535381046
11a6aa37126704
12410143914046
13190203708b10
14a6c2d81ac98
1553e065e95b6
hex2c288674836

3034535381046 has 448 divisors, whose sum is σ = 8025764342400. Its totient is φ = 851444379648.

The previous prime is 3034535381039. The next prime is 3034535381047. The reversal of 3034535381046 is 6401835354303.

It is a happy number.

3034535381046 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 5 + 3 + 538 + 104 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3034535380992 and 3034535381010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034535381047) 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 223 ways as a sum of consecutive naturals, for example, 4280021340 + ... + 4280022048.

It is an arithmetic number, because the mean of its divisors is an integer number (17914652550).

Almost surely, 23034535381046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034535381046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012882171200).

3034535381046 is an abundant number, since it is smaller than the sum of its proper divisors (4991228961354).

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

3034535381046 is a wasteful number, since it uses less digits than its factorization.

3034535381046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 3034535381046 in words is "three trillion, thirty-four billion, five hundred thirty-five million, three hundred eighty-one thousand, forty-six".