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2320241040 = 2432513247889
BaseRepresentation
bin1000101001001100…
…0001000110010000
312222200221110100100
42022103001012100
514222440203130
61022122452400
7111332503065
oct21223010620
95880843310
102320241040
11a90796487
12549064100
132ac9111c0
1418021ac6c
15d8a6dc60
hex8a4c1190

2320241040 has 120 divisors (see below), whose sum is σ = 8391572280. Its totient is φ = 571133952.

The previous prime is 2320241009. The next prime is 2320241047. The reversal of 2320241040 is 401420232.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 2317844736 = 1548^2 + 48144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2320241047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114585 + ... + 133304.

It is an arithmetic number, because the mean of its divisors is an integer number (69929769).

Almost surely, 22320241040 is an apocalyptic number.

2320241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320241040 is an abundant number, since it is smaller than the sum of its proper divisors (6071331240).

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

2320241040 is a wasteful number, since it uses less digits than its factorization.

2320241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247921 (or 247912 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2320241040 is about 48168.8804104891. The cubic root of 2320241040 is about 1323.8670348365.

Adding to 2320241040 its reverse (401420232), we get a palindrome (2721661272).

The spelling of 2320241040 in words is "two billion, three hundred twenty million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 247889 495778 743667 991556 1239445 1487334 1983112 2231001 2478890 2974668 3222557 3718335 3966224 4462002 4957780 5949336 6445114 7436670 8924004 9667671 9915560 11155005 11898672 12890228 14873340 16112785 17848008 19335342 19831120 22310010 25780456 29003013 29746680 32225570 35696016 38670684 44620020 48338355 51560912 58006026 59493360 64451140 77341368 89240040 96676710 116012052 128902280 145015065 154682736 178480080 193353420 232024104 257804560 290030130 386706840 464048208 580060260 773413680 1160120520 2320241040