Search a number
-
+
34200313013304 = 233452778260823
BaseRepresentation
bin1111100011010111000011…
…00000100010010000111000
311111002111222121122212110000
413301223201200202100320
513440314220112411204
6200423223520153000
710126614432045504
oct761534140422070
9144074877585400
1034200313013304
11a9962a91063a9
123a042bb768760
1316110ca35cc09
148634381ab304
153e4966938039
hex1f1ae1822438

34200313013304 has 40 divisors (see below), whose sum is σ = 95792543395560. Its totient is φ = 11400104337552.

The previous prime is 34200313013297. The next prime is 34200313013351. The reversal of 34200313013304 is 40331031300243.

34200313013304 is a `hidden beast` number, since 3 + 4 + 20 + 0 + 3 + 1 + 301 + 330 + 4 = 666.

It is a super-2 number, since 2×342003130133042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26389129764 + ... + 26389131059.

It is an arithmetic number, because the mean of its divisors is an integer number (2394813584889).

Almost surely, 234200313013304 is an apocalyptic number.

It is an amenable number.

34200313013304 is an abundant number, since it is smaller than the sum of its proper divisors (61592230382256).

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

34200313013304 is a wasteful number, since it uses less digits than its factorization.

34200313013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52778260841 (or 52778260828 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34200313013304 its reverse (40331031300243), we get a palindrome (74531344313547).

The spelling of 34200313013304 in words is "thirty-four trillion, two hundred billion, three hundred thirteen million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 52778260823 105556521646 158334782469 211113043292 316669564938 422226086584 475004347407 633339129876 950008694814 1266678259752 1425013042221 1900017389628 2850026084442 3800034779256 4275039126663 5700052168884 8550078253326 11400104337768 17100156506652 34200313013304