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34345224512 = 265388311467
BaseRepresentation
bin11111111111001000…
…101000100101000000
310021122120121011211022
4133333020220211000
51030314334141022
623440013205012
72324051406614
oct377710504500
9107576534738
1034345224512
1113624a90575
1267a6190768
13331468a171
14193b585344
15d60342c42
hex7ff228940

34345224512 has 56 divisors (see below), whose sum is σ = 69524428896. Its totient is φ = 16828051968.

The previous prime is 34345224499. The next prime is 34345224517. The reversal of 34345224512 is 21542254343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345224517) 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 7 ways as a sum of consecutive naturals, for example, 2989403 + ... + 3000869.

Almost surely, 234345224512 is an apocalyptic number.

34345224512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34762214448).

34345224512 is an abundant number, since it is smaller than the sum of its proper divisors (35179204384).

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

34345224512 is a wasteful number, since it uses less digits than its factorization.

34345224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415 (or 12405 counting only the distinct ones).

The product of its digits is 115200, while the sum is 35.

Adding to 34345224512 its reverse (21542254343), we get a palindrome (55887478855).

The spelling of 34345224512 in words is "thirty-four billion, three hundred forty-five million, two hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 883 1696 1766 3392 3532 7064 11467 14128 22934 28256 45868 46799 56512 91736 93598 183472 187196 366944 374392 607751 733888 748784 1215502 1497568 2431004 2995136 4862008 9724016 10125361 19448032 20250722 38896064 40501444 81002888 162005776 324011552 536644133 648023104 1073288266 2146576532 4293153064 8586306128 17172612256 34345224512