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34298035187208 = 23313479254390247
BaseRepresentation
bin1111100110001101000100…
…01101000010111000001000
311111102212020001011122201020
413303012202031002320020
513443414334001442313
6200540144433352440
710136644166604552
oct763064215027010
9144385201148636
1034298035187208
11aa23795795aa1
123a1b232708720
13161a3a1c8c260
148680688d24d2
153e7285bd1323
hex1f31a2342e08

34298035187208 has 128 divisors (see below), whose sum is σ = 92571055718400. Its totient is φ = 10526951874816.

The previous prime is 34298035187201. The next prime is 34298035187233. The reversal of 34298035187208 is 80278153089243.

It is not an unprimeable number, because it can be changed into a prime (34298035187201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 380001141 + ... + 380091387.

It is an arithmetic number, because the mean of its divisors is an integer number (723211372800).

Almost surely, 234298035187208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34298035187208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46285527859200).

34298035187208 is an abundant number, since it is smaller than the sum of its proper divisors (58273020531192).

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

34298035187208 is a wasteful number, since it uses less digits than its factorization.

34298035187208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93291 (or 93287 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 34298035187208 in words is "thirty-four trillion, two hundred ninety-eight billion, thirty-five million, one hundred eighty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 479 958 1437 1916 2543 2874 3832 5086 5748 6227 7629 10172 11496 12454 15258 18681 20344 24908 30516 33059 37362 49816 61032 66118 74724 90247 99177 132236 149448 180494 198354 264472 270741 360988 396708 541482 721976 793416 1082964 1173211 1218097 2165928 2346422 2436194 3519633 3654291 4692844 4872388 7039266 7308582 9385688 9744776 14078532 14617164 15835261 28157064 29234328 31670522 43228313 47505783 63341044 86456626 95011566 126682088 129684939 172913252 190023132 229498121 259369878 345826504 380046264 458996242 518739756 561968069 688494363 917992484 1037479512 1123936138 1376988726 1685904207 1835984968 2247872276 2753977452 2983475573 3371808414 4495744552 5507954904 5966951146 6743616828 8950426719 11933902292 13487233656 17900853438 23867804584 35801706876 71603413752 109929599959 219859199918 329788799877 439718399836 659577599754 879436799672 1319155199508 1429084799467 2638310399016 2858169598934 4287254398401 5716339197868 8574508796802 11432678395736 17149017593604 34298035187208