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2340105060 = 2235314572753
BaseRepresentation
bin1000101101111011…
…0010101101100100
320001002022122122210
42023132302231210
514243031330220
61024112323420
7111663364506
oct21336625544
96032278583
102340105060
11aa0a23627
12553843570
132b3a77767
14182b0bd76
15da6946e0
hex8b7b2b64

2340105060 has 96 divisors (see below), whose sum is σ = 6780920832. Its totient is φ = 602357760.

The previous prime is 2340105049. The next prime is 2340105067. The reversal of 2340105060 is 605010432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2340105067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848644 + ... + 851396.

It is an arithmetic number, because the mean of its divisors is an integer number (70634592).

Almost surely, 22340105060 is an apocalyptic number.

2340105060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340105060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390460416).

2340105060 is an abundant number, since it is smaller than the sum of its proper divisors (4440815772).

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

2340105060 is a wasteful number, since it uses less digits than its factorization.

2340105060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2340105060 is about 48374.6324017041. The cubic root of 2340105060 is about 1327.6342627918.

Adding to 2340105060 its reverse (605010432), we get a palindrome (2945115492).

The spelling of 2340105060 in words is "two billion, three hundred forty million, one hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 457 465 620 914 930 1371 1828 1860 2285 2742 2753 4570 5484 5506 6855 8259 9140 11012 13710 13765 14167 16518 27420 27530 28334 33036 41295 42501 55060 56668 70835 82590 85002 85343 141670 165180 170004 170686 212505 256029 283340 341372 425010 426715 512058 850020 853430 1024116 1258121 1280145 1706860 2516242 2560290 3774363 5032484 5120580 6290605 7548726 12581210 15097452 18871815 25162420 37743630 39001751 75487260 78003502 117005253 156007004 195008755 234010506 390017510 468021012 585026265 780035020 1170052530 2340105060