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3034134312 = 2331159319381
BaseRepresentation
bin1011010011011001…
…0011011100101000
321211110020222210220
42310312103130220
522203214244222
61221024010040
7135121500426
oct26466233450
97743228726
103034134312
111317765020
12708160920
133947a6261
1420ad70116
1512b587b5c
hexb4d93728

3034134312 has 64 divisors (see below), whose sum is σ = 8289293760. Its totient is φ = 917836800.

The previous prime is 3034134289. The next prime is 3034134317. The reversal of 3034134312 is 2134314303.

3034134312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3034134317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146862 + ... + 166242.

It is an arithmetic number, because the mean of its divisors is an integer number (129520215).

Almost surely, 23034134312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144646880).

3034134312 is an abundant number, since it is smaller than the sum of its proper divisors (5255159448).

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

3034134312 is a wasteful number, since it uses less digits than its factorization.

3034134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19994 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3034134312 is about 55082.9766080229. The cubic root of 3034134312 is about 1447.6989761699.

Adding to 3034134312 its reverse (2134314303), we get a palindrome (5168448615).

Subtracting from 3034134312 its reverse (2134314303), we obtain a square (899820009 = 299972).

The spelling of 3034134312 in words is "three billion, thirty-four million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 593 1186 1779 2372 3558 4744 6523 7116 13046 14232 19381 19569 26092 38762 39138 52184 58143 77524 78276 116286 155048 156552 213191 232572 426382 465144 639573 852764 1279146 1705528 2558292 5116584 11492933 22985866 34478799 45971732 68957598 91943464 126422263 137915196 252844526 275830392 379266789 505689052 758533578 1011378104 1517067156 3034134312