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34240330422 = 23343130311317
BaseRepresentation
bin11111111000111000…
…011111101010110110
310021101021020000012000
4133320320133222312
51030111011033142
623421345040130
72321336002134
oct377070375266
9107337200160
1034240330422
1113580857041
126777026046
1332c8a21b5c
14192b67c754
15d5602314c
hex7f8e1fab6

34240330422 has 64 divisors (see below), whose sum is σ = 77925788160. Its totient is φ = 11138474592.

The previous prime is 34240330381. The next prime is 34240330429. The reversal of 34240330422 is 22403304243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240330429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019908 + ... + 3031224.

It is an arithmetic number, because the mean of its divisors is an integer number (1217590440).

Almost surely, 234240330422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240330422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38962894080).

34240330422 is an abundant number, since it is smaller than the sum of its proper divisors (43685457738).

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

34240330422 is a wasteful number, since it uses less digits than its factorization.

34240330422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34240330422 its reverse (22403304243), we get a palindrome (56643634665).

The spelling of 34240330422 in words is "thirty-four billion, two hundred forty million, three hundred thirty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1303 2322 2606 3909 7818 11317 11727 22634 23454 33951 35181 56029 67902 70362 101853 112058 168087 203706 305559 336174 486631 504261 611118 973262 1008522 1459893 1512783 2919786 3025566 4379679 8759358 13139037 14746051 26278074 29492102 44238153 88476306 132714459 265428918 398143377 634080193 796286754 1268160386 1902240579 3804481158 5706721737 11413443474 17120165211 34240330422