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2268701344 = 257132932659
BaseRepresentation
bin1000011100111001…
…1010001010100000
312212002221222011201
42013032122022200
514121241420334
61013042050544
7110135433430
oct20716321240
95762858151
102268701344
11a64693998
12533949a54
132a2037040
141774422c0
15d428cc14
hex8739a2a0

2268701344 has 96 divisors (see below), whose sum is σ = 5518074240. Its totient is φ = 894108672.

The previous prime is 2268701341. The next prime is 2268701359. The reversal of 2268701344 is 4431078622.

It is not an unprimeable number, because it can be changed into a prime (2268701341) 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 15 ways as a sum of consecutive naturals, for example, 851887 + ... + 854545.

It is an arithmetic number, because the mean of its divisors is an integer number (57479940).

Almost surely, 22268701344 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 2268701344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759037120).

2268701344 is an abundant number, since it is smaller than the sum of its proper divisors (3249372896).

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

2268701344 is a wasteful number, since it uses less digits than its factorization.

2268701344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 2268701344 is about 47630.8864498657. The cubic root of 2268701344 is about 1313.9911578798.

Adding to 2268701344 its reverse (4431078622), we get a palindrome (6699779966).

The spelling of 2268701344 in words is "two billion, two hundred sixty-eight million, seven hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 293 364 416 586 728 1172 1456 2051 2344 2659 2912 3809 4102 4688 5318 7618 8204 9376 10636 15236 16408 18613 21272 26663 30472 32816 34567 37226 42544 53326 60944 65632 69134 74452 85088 106652 121888 138268 148904 213304 241969 276536 297808 426608 483938 553072 595616 779087 853216 967876 1106144 1558174 1935752 3116348 3871504 5453609 6232696 7743008 10128131 10907218 12465392 20256262 21814436 24930784 40512524 43628872 70896917 81025048 87257744 141793834 162050096 174515488 283587668 324100192 567175336 1134350672 2268701344