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34274847243 = 3713247533877
BaseRepresentation
bin11111111010111100…
…001010101000001011
310021110200011122100210
4133322330022220023
51030143330102433
623425020532203
72322235252230
oct377274125013
9107420148323
1034274847243
111359929203a
1267866b1063
133302c18a00
1419320a5787
15d59090463
hex7faf0aa0b

34274847243 has 96 divisors (see below), whose sum is σ = 58863200256. Its totient is φ = 17356045824.

The previous prime is 34274847199. The next prime is 34274847259.

34274847243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34274847243 - 217 = 34274716171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34274847192 and 34274847201.

It is not an unprimeable number, because it can be changed into a prime (34274847443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8838621 + ... + 8842497.

It is an arithmetic number, because the mean of its divisors is an integer number (613158336).

Almost surely, 234274847243 is an apocalyptic number.

34274847243 is a deficient number, since it is larger than the sum of its proper divisors (24588353013).

34274847243 is a wasteful number, since it uses less digits than its factorization.

34274847243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4000 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 34274847243 in words is "thirty-four billion, two hundred seventy-four million, eight hundred forty-seven thousand, two hundred forty-three".

Divisors: 1 3 7 13 21 39 47 53 91 141 159 169 273 329 371 507 611 689 987 1113 1183 1833 2067 2491 3549 3877 4277 4823 7473 7943 8957 11631 12831 14469 17437 23829 26871 27139 32383 50401 52311 55601 62699 81417 97149 151203 166803 182219 188097 205481 226681 352807 420979 546657 616443 655213 680043 1058421 1262937 1275533 1438367 1965639 2368847 2671253 2946853 3826599 4315101 4586491 7106541 8013759 8840559 9657607 13759473 16581929 18698771 28972821 30795011 34726289 49745787 56096313 67603249 92385033 104178867 125548891 202809747 215565077 243084023 376646673 646695231 729252069 878842237 1632135583 2636526711 4896406749 11424949081 34274847243