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2284300368 = 243279472393
BaseRepresentation
bin1000100000100111…
…1010100001010000
312220012022111000100
42020021322201100
514134240102433
61014400252400
7110415142560
oct21011724120
95805274010
102284300368
11a72478749
12539011100
132a533922c
14179542da0
15d581eb13
hex8827a850

2284300368 has 120 divisors (see below), whose sum is σ = 7316906688. Its totient is φ = 651695616.

The previous prime is 2284300351. The next prime is 2284300373. The reversal of 2284300368 is 8630034822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 953380 + ... + 955772.

Almost surely, 22284300368 is an apocalyptic number.

2284300368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284300368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658453344).

2284300368 is an abundant number, since it is smaller than the sum of its proper divisors (5032606320).

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

2284300368 is a wasteful number, since it uses less digits than its factorization.

2284300368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2284300368 is about 47794.3549804786. The cubic root of 2284300368 is about 1316.9958402603.

The spelling of 2284300368 in words is "two billion, two hundred eighty-four million, three hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 947 1008 1894 2393 2841 3788 4786 5682 6629 7179 7576 8523 9572 11364 13258 14358 15152 16751 17046 19144 19887 21537 22728 26516 28716 33502 34092 38288 39774 43074 45456 50253 53032 57432 59661 67004 68184 79548 86148 100506 106064 114864 119322 134008 136368 150759 159096 172296 201012 238644 268016 301518 318192 344592 402024 477288 603036 804048 954576 1206072 2266171 2412144 4532342 6798513 9064684 13597026 15863197 18129368 20395539 27194052 31726394 36258736 40791078 47589591 54388104 63452788 81582156 95179182 108776208 126905576 142768773 163164312 190358364 253811152 285537546 326328624 380716728 571075092 761433456 1142150184 2284300368