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4342112340 = 22353119911731
BaseRepresentation
bin1000000101100111…
…10110000001010100
3102012121110011100120
410002303312001110
532343040043330
61554510311540
7212413226436
oct40263660124
912177404316
104342112340
1119290112a5
12a121b85b0
13542775657
142d296a656
151a6301c10
hex102cf6054

4342112340 has 96 divisors (see below), whose sum is σ = 12614246400. Its totient is φ = 1114819200.

The previous prime is 4342112321. The next prime is 4342112353. The reversal of 4342112340 is 432112434.

It is a self number, because there is not a number n which added to its sum of digits gives 4342112340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364275 + ... + 376005.

It is an arithmetic number, because the mean of its divisors is an integer number (131398400).

Almost surely, 24342112340 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 4342112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307123200).

4342112340 is an abundant number, since it is smaller than the sum of its proper divisors (8272134060).

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

4342112340 is a wasteful number, since it uses less digits than its factorization.

4342112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4342112340 is about 65894.7064641766. The cubic root of 4342112340 is about 1631.4246442984.

Adding to 4342112340 its reverse (432112434), we get a palindrome (4774224774).

The spelling of 4342112340 in words is "four billion, three hundred forty-two million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 199 310 372 398 465 597 620 796 930 995 1194 1860 1990 2388 2985 3980 5970 6169 11731 11940 12338 18507 23462 24676 30845 35193 37014 46924 58655 61690 70386 74028 92535 117310 123380 140772 175965 185070 234620 351930 363661 370140 703860 727322 1090983 1454644 1818305 2181966 2334469 3636610 4363932 4668938 5454915 7003407 7273220 9337876 10909830 11672345 14006814 21819660 23344690 28013628 35017035 46689380 70034070 72368539 140068140 144737078 217105617 289474156 361842695 434211234 723685390 868422468 1085528085 1447370780 2171056170 4342112340