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3083483466 = 232728634051
BaseRepresentation
bin1011011111001010…
…0011100101001010
321221220010012010100
42313302203211022
522303332432331
61225545430230
7136261114500
oct26762434512
97856105110
103083483466
111342600848
1272079b376
133a1a9433b
14213738670
15130a84ae6
hexb7ca394a

3083483466 has 72 divisors (see below), whose sum is σ = 7782562944. Its totient is φ = 879757200.

The previous prime is 3083483453. The next prime is 3083483483. The reversal of 3083483466 is 6643843803.

3083483466 is a `hidden beast` number, since 30 + 83 + 4 + 83 + 466 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759141 + ... + 763191.

It is an arithmetic number, because the mean of its divisors is an integer number (108091152).

Almost surely, 23083483466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083483466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891281472).

3083483466 is an abundant number, since it is smaller than the sum of its proper divisors (4699079478).

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

3083483466 is a wasteful number, since it uses less digits than its factorization.

3083483466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3083483466 is about 55529.1226835073. The cubic root of 3083483466 is about 1455.5055797844.

The spelling of 3083483466 in words is "three billion, eighty-three million, four hundred eighty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 863 882 1726 2589 4051 5178 6041 7767 8102 12082 12153 15534 18123 24306 28357 36246 36459 42287 54369 56714 72918 84574 85071 108738 126861 170142 198499 253722 255213 380583 396998 510426 595497 761166 1190994 1786491 3496013 3572982 6992026 10488039 20976078 24472091 31464117 48944182 62928234 73416273 146832546 171304637 220248819 342609274 440497638 513913911 1027827822 1541741733 3083483466