Search a number
-
+
3424342333224 = 2331972113432553
BaseRepresentation
bin110001110101001010101…
…101010101011100101000
3110010100211022020022001010
4301311022231111130220
5422101023114130344
611141042100223520
7502254252401451
oct61651255253450
913110738208033
103424342333224
111100289a7a33a
124737b139aba0
131babb6367bc7
14bba4bd68128
155e11d2008b9
hex31d4ab55728

3424342333224 has 64 divisors (see below), whose sum is σ = 8645093202240. Its totient is φ = 1130270722560.

The previous prime is 3424342333213. The next prime is 3424342333271. The reversal of 3424342333224 is 4223332434243.

3424342333224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34243423332242 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718669 + ... + 2713884.

It is an arithmetic number, because the mean of its divisors is an integer number (135079581285).

Almost surely, 23424342333224 is an apocalyptic number.

It is an amenable number.

3424342333224 is an abundant number, since it is smaller than the sum of its proper divisors (5220750869016).

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

3424342333224 is a wasteful number, since it uses less digits than its factorization.

3424342333224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432970 (or 3432966 counting only the distinct ones).

The product of its digits is 995328, while the sum is 39.

Adding to 3424342333224 its reverse (4223332434243), we get a palindrome (7647674767467).

The spelling of 3424342333224 in words is "three trillion, four hundred twenty-four billion, three hundred forty-two million, three hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 197 211 394 422 591 633 788 844 1182 1266 1576 1688 2364 2532 4728 5064 41567 83134 124701 166268 249402 332536 498804 997608 3432553 6865106 10297659 13730212 20595318 27460424 41190636 82381272 676212941 724268683 1352425882 1448537366 2028638823 2172806049 2704851764 2897074732 4057277646 4345612098 5409703528 5794149464 8114555292 8691224196 16229110584 17382448392 142680930551 285361861102 428042791653 570723722204 856085583306 1141447444408 1712171166612 3424342333224