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2441252340 = 2232541330793
BaseRepresentation
bin1001000110000010…
…1000110111110100
320022010122110122100
42101200220313310
514444430033330
61042124302100
7114332205522
oct22140506764
96263573570
102441252340
11104302901a
125816a1930
132cba00517
1419231b312
15e44c4060
hex91828df4

2441252340 has 72 divisors (see below), whose sum is σ = 7585768008. Its totient is φ = 635120640.

The previous prime is 2441252329. The next prime is 2441252347. The reversal of 2441252340 is 432521442.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 2440162404 = 1044^2 + 49398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441252347) 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, 158017 + ... + 172776.

It is an arithmetic number, because the mean of its divisors is an integer number (105357889).

Almost surely, 22441252340 is an apocalyptic number.

2441252340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441252340 is an abundant number, since it is smaller than the sum of its proper divisors (5144515668).

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

2441252340 is a wasteful number, since it uses less digits than its factorization.

2441252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330849 (or 330844 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2441252340 is about 49409.0309558890. The cubic root of 2441252340 is about 1346.4933850770.

Adding to 2441252340 its reverse (432521442), we get a palindrome (2873773782).

The spelling of 2441252340 in words is "two billion, four hundred forty-one million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 330793 661586 992379 1323172 1653965 1984758 2977137 3307930 3969516 4961895 5954274 6615860 9923790 11908548 13562513 14885685 19847580 27125026 29771370 40687539 54250052 59542740 67812565 81375078 122062617 135625130 162750156 203437695 244125234 271250260 406875390 488250468 610313085 813750780 1220626170 2441252340