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4284338316 = 2232953673467
BaseRepresentation
bin1111111101011101…
…1101000010001100
3102001120201221021220
43333113131002030
532233242311231
61545044123340
7211112163156
oct37727350214
912046657256
104284338316
1118a9440875
129b6996550
135337c793b
142c900bad6
151a11dd896
hexff5dd08c

4284338316 has 96 divisors (see below), whose sum is σ = 10696976640. Its totient is φ = 1332274944.

The previous prime is 4284338293. The next prime is 4284338339. The reversal of 4284338316 is 6138334824.

It is an interprime number because it is at equal distance from previous prime (4284338293) and next prime (4284338339).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234015 + ... + 1237481.

It is an arithmetic number, because the mean of its divisors is an integer number (111426840).

Almost surely, 24284338316 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 4284338316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348488320).

4284338316 is an abundant number, since it is smaller than the sum of its proper divisors (6412638324).

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

4284338316 is a wasteful number, since it uses less digits than its factorization.

4284338316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3621 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4284338316 is about 65454.8570848642. The cubic root of 4284338316 is about 1624.1566673864.

The spelling of 4284338316 in words is "four billion, two hundred eighty-four million, three hundred thirty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 53 58 67 87 106 116 134 159 174 201 212 268 318 348 402 636 804 1537 1943 3074 3467 3551 3886 4611 5829 6148 6934 7102 7772 9222 10401 10653 11658 13868 14204 18444 20802 21306 23316 41604 42612 100543 102979 183751 201086 205958 232289 301629 308937 367502 402172 411916 464578 551253 603258 617874 696867 735004 929156 1102506 1206516 1235748 1393734 2205012 2787468 5328779 6736381 10657558 12311317 13472762 15986337 20209143 21315116 24622634 26945524 31972674 36933951 40418286 49245268 63945348 73867902 80836572 147735804 357028193 714056386 1071084579 1428112772 2142169158 4284338316