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2741308240 = 245112283193
BaseRepresentation
bin1010001101100101…
…0000101101010000
321002001020212221211
42203121100231100
521103233330430
61132003425504
7124634510206
oct24331205520
97061225854
102741308240
111187440500
12646085294
13348c1a8a8
141c0107076
151109e472a
hexa3650b50

2741308240 has 60 divisors (see below), whose sum is σ = 7005653172. Its totient is φ = 996835840.

The previous prime is 2741308223. The next prime is 2741308247. The reversal of 2741308240 is 428031472.

It can be written as a sum of positive squares in 2 ways, for example, as 2138507536 + 602800704 = 46244^2 + 24552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741308247) 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 11 ways as a sum of consecutive naturals, for example, 131917 + ... + 151276.

Almost surely, 22741308240 is an apocalyptic number.

2741308240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741308240 is an abundant number, since it is smaller than the sum of its proper divisors (4264344932).

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

2741308240 is a wasteful number, since it uses less digits than its factorization.

2741308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283228 (or 283211 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2741308240 is about 52357.5041421953. The cubic root of 2741308240 is about 1399.5420679164.

The spelling of 2741308240 in words is "two billion, seven hundred forty-one million, three hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 283193 566386 1132772 1415965 2265544 2831930 3115123 4531088 5663860 6230246 11327720 12460492 15575615 22655440 24920984 31151230 34266353 49841968 62302460 68532706 124604920 137065412 171331765 249209840 274130824 342663530 548261648 685327060 1370654120 2741308240