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348114841212 = 223199722769341
BaseRepresentation
bin1010001000011010100…
…00101110111001111100
31020021112201111012200010
411010031100232321330
521200414344404322
6423531033103220
734102416220335
oct5041520567174
91207481435603
10348114841212
111246a8830686
1257572b57b10
1326a9a163058
1412bc534d28c
1590c67c820c
hex510d42ee7c

348114841212 has 96 divisors (see below), whose sum is σ = 867651482880. Its totient is φ = 108316846080.

The previous prime is 348114841199. The next prime is 348114841213. The reversal of 348114841212 is 212148411843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348114841213) 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, 4985662 + ... + 5055002.

It is an arithmetic number, because the mean of its divisors is an integer number (9038036280).

Almost surely, 2348114841212 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 348114841212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433825741440).

348114841212 is an abundant number, since it is smaller than the sum of its proper divisors (519536641668).

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

348114841212 is a wasteful number, since it uses less digits than its factorization.

348114841212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69691 (or 69689 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 348114841212 in words is "three hundred forty-eight billion, one hundred fourteen million, eight hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 227 228 291 388 454 582 681 908 1164 1362 1843 2724 3686 4313 5529 7372 8626 11058 12939 17252 22019 22116 25878 44038 51756 66057 69341 88076 132114 138682 208023 264228 277364 416046 418361 832092 836722 1255083 1317479 1673444 2510166 2634958 3952437 5020332 5269916 6726077 7904874 13452154 15740407 15809748 20178231 26904308 31480814 40356462 47221221 62961628 80712924 94442442 127795463 188884884 255590926 299067733 383386389 511181852 598135466 766772778 897203199 1196270932 1526819479 1533545556 1794406398 3053638958 3588812796 4580458437 6107277916 9160916874 18321833748 29009570101 58019140202 87028710303 116038280404 174057420606 348114841212