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34314233420034 = 23271173283548417
BaseRepresentation
bin1111100110101011001111…
…01100011001100100000010
311111111102000221000010211100
413303111213230121210002
513444201022223420114
6200551424033555230
710141056456402261
oct763254754314402
9144442027003740
1034314233420034
11aa2a648217077
123a223b3415b16
13161ba83b312c9
14868b63d065d8
153e78d2cd2909
hex1f3567b19902

34314233420034 has 96 divisors (see below), whose sum is σ = 76098551877504. Its totient is φ = 11172155258880.

The previous prime is 34314233420029. The next prime is 34314233420083. The reversal of 34314233420034 is 43002433241343.

34314233420034 is a `hidden beast` number, since 3 + 4 + 314 + 2 + 334 + 2 + 0 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×343142334200342 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62295394 + ... + 62843810.

It is an arithmetic number, because the mean of its divisors is an integer number (792693248724).

Almost surely, 234314233420034 is an apocalyptic number.

34314233420034 is an abundant number, since it is smaller than the sum of its proper divisors (41784318457470).

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

34314233420034 is a wasteful number, since it uses less digits than its factorization.

34314233420034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548952 (or 548949 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34314233420034 its reverse (43002433241343), we get a palindrome (77316666661377).

The spelling of 34314233420034 in words is "thirty-four trillion, three hundred fourteen billion, two hundred thirty-three million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 71 142 173 213 283 346 426 519 566 639 849 1038 1278 1557 1698 2547 3114 5094 12283 20093 24566 36849 40186 48959 60279 73698 97918 110547 120558 146877 180837 221094 293754 361674 440631 548417 881262 1096834 1645251 3290502 3476089 4935753 6952178 9871506 10428267 20856534 31284801 38937607 62569602 77875214 94876141 116812821 155202011 189752282 233625642 284628423 310404022 350438463 465606033 569256846 700876926 853885269 931212066 1396818099 1707770538 2793636198 6736206011 11019342781 13472412022 20208618033 22038685562 26849947903 33058028343 40417236066 53699895806 60625854099 66116056686 80549843709 99174085029 121251708198 161099687418 198348170058 241649531127 483299062254 1906346301113 3812692602226 5719038903339 11438077806678 17157116710017 34314233420034