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2343114020 = 2251323591931
BaseRepresentation
bin1000101110101001…
…0001010100100100
320001021222112011202
42023222101110210
514244314122040
61024301022032
7112031066132
oct21352212444
96037875152
102343114020
11aa2699275
12554854918
132b458c200
14183292752
15daa8b015
hex8ba91524

2343114020 has 72 divisors (see below), whose sum is σ = 5345766720. Its totient is φ = 862293120.

The previous prime is 2343114019. The next prime is 2343114071. The reversal of 2343114020 is 204113432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2343113983 and 2343114001.

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 23 ways as a sum of consecutive naturals, for example, 1212455 + ... + 1214385.

It is an arithmetic number, because the mean of its divisors is an integer number (74246760).

Almost surely, 22343114020 is an apocalyptic number.

2343114020 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 2343114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672883360).

2343114020 is an abundant number, since it is smaller than the sum of its proper divisors (3002652700).

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

2343114020 is a wasteful number, since it uses less digits than its factorization.

2343114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2343114020 is about 48405.7230087518. The cubic root of 2343114020 is about 1328.2030531253.

Adding to 2343114020 its reverse (204113432), we get a palindrome (2547227452).

The spelling of 2343114020 in words is "two billion, three hundred forty-three million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 359 676 718 845 1436 1690 1795 1931 3380 3590 3862 4667 7180 7724 9334 9655 18668 19310 23335 25103 38620 46670 50206 60671 93340 100412 121342 125515 242684 251030 303355 326339 502060 606710 652678 693229 1213420 1305356 1386458 1631695 2772916 3263390 3466145 6526780 6932290 9011977 13864580 18023954 36047908 45059885 90119770 117155701 180239540 234311402 468622804 585778505 1171557010 2343114020