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2240010304 = 26721742017
BaseRepresentation
bin1000010110000011…
…1101100001000000
312210002222022110121
42011200331201000
514041420312204
61010135110024
7106336526200
oct20540754100
95702868417
102240010304
11a4a477994
12526212314
132990ccaac
141736d4400
15d19c1b54
hex8583d840

2240010304 has 84 divisors (see below), whose sum is σ = 5475029436. Its totient is φ = 903512064.

The previous prime is 2240010281. The next prime is 2240010347. The reversal of 2240010304 is 4030100422.

It can be written as a sum of positive squares in 2 ways, for example, as 983449600 + 1256560704 = 31360^2 + 35448^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32304 + ... + 74320.

Almost surely, 22240010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737514718).

2240010304 is an abundant number, since it is smaller than the sum of its proper divisors (3235019132).

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

2240010304 is a wasteful number, since it uses less digits than its factorization.

2240010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42060 (or 42043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2240010304 is about 47328.7471205398. The cubic root of 2240010304 is about 1308.4285303264.

Adding to 2240010304 its reverse (4030100422), we get a palindrome (6270110726).

The spelling of 2240010304 in words is "two billion, two hundred forty million, ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1088 1568 1666 1904 3136 3332 3808 6664 7616 13328 26656 42017 53312 84034 168068 294119 336136 588238 672272 714289 1176476 1344544 1428578 2058833 2352952 2689088 2857156 4117666 4705904 5000023 5714312 8235332 9411808 10000046 11428624 16470664 18823616 20000092 22857248 32941328 35000161 40000184 45714496 65882656 70000322 80000368 131765312 140000644 160000736 280001288 320001472 560002576 1120005152 2240010304