Search a number
-
+
2345083020 = 22325717109481
BaseRepresentation
bin1000101111000111…
…0010000010001100
320001102200120010200
42023301302002030
514300320124040
61024411133500
7112053606510
oct21361620214
96042616120
102345083020
11aa3813645
12555444290
132b4acb4b7
14183646140
15dad29630
hex8bc7208c

2345083020 has 144 divisors (see below), whose sum is σ = 8607912768. Its totient is φ = 504483840.

The previous prime is 2345083019. The next prime is 2345083021. The reversal of 2345083020 is 203805432.

It is an interprime number because it is at equal distance from previous prime (2345083019) and next prime (2345083021).

It is not an unprimeable number, because it can be changed into a prime (2345083021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33321 + ... + 76160.

It is an arithmetic number, because the mean of its divisors is an integer number (59777172).

Almost surely, 22345083020 is an apocalyptic number.

2345083020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345083020 is an abundant number, since it is smaller than the sum of its proper divisors (6262829748).

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

2345083020 is a wasteful number, since it uses less digits than its factorization.

2345083020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109520 (or 109515 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2345083020 is about 48426.0572419436. The cubic root of 2345083020 is about 1328.5749939947.

Adding to 2345083020 its reverse (203805432), we get a palindrome (2548888452).

The spelling of 2345083020 in words is "two billion, three hundred forty-five million, eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 109481 218962 328443 437924 547405 656886 766367 985329 1094810 1313772 1532734 1642215 1861177 1970658 2189620 2299101 3065468 3284430 3722354 3831835 3941316 4598202 4926645 5583531 6568860 6897303 7444708 7663670 9196404 9305885 9853290 11167062 11495505 13028239 13794606 15327340 16750593 18611770 19706580 22334124 22991010 26056478 27589212 27917655 33501186 34486515 37223540 39084717 45982020 52112956 55835310 65141195 67002372 68973030 78169434 83752965 111670620 117254151 130282390 137946060 156338868 167505930 195423585 234508302 260564780 335011860 390847170 469016604 586270755 781694340 1172541510 2345083020