Search a number
-
+
34213130343 = 32717121726249
BaseRepresentation
bin11111110111010000…
…101111000001100111
310021022101001002200200
4133313100233001213
51030032030132333
623414534041543
72320555544460
oct376720570147
9107271032620
1034213130343
1113567469237
126769aa92b3
1332c31ba432
141927bdbd67
15d5394dc13
hex7f742f067

34213130343 has 48 divisors (see below), whose sum is σ = 59852520000. Its totient is φ = 18384519168.

The previous prime is 34213130293. The next prime is 34213130383. The reversal of 34213130343 is 34303131243.

34213130343 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 313 + 0 + 343 = 666.

It is not a de Polignac number, because 34213130343 - 26 = 34213130279 is a prime.

It is a super-3 number, since 3×342131303433 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213130383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290283 + ... + 1316531.

It is an arithmetic number, because the mean of its divisors is an integer number (1246927500).

Almost surely, 234213130343 is an apocalyptic number.

34213130343 is a deficient number, since it is larger than the sum of its proper divisors (25639389657).

34213130343 is a wasteful number, since it uses less digits than its factorization.

34213130343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27496 (or 27493 counting only the distinct ones).

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

Adding to 34213130343 its reverse (34303131243), we get a palindrome (68516261586).

The spelling of 34213130343 in words is "thirty-four billion, two hundred thirteen million, one hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1217 3651 8519 10953 20689 25557 26249 62067 76671 78747 144823 183743 186201 236241 434469 446233 551229 1303407 1338699 1653687 3123631 4016097 9370893 28112679 31945033 95835099 223615231 287505297 543065561 670845693 1629196683 2012537079 3801458927 4887590049 11404376781 34213130343