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8047314 = 2321197419
BaseRepresentation
bin11110101100101011010010
3120010211211200
4132230223102
54030003224
6444252030
7125254362
oct36545322
916124750
108047314
1145a7080
122841016
131889b32
1410d69a2
15a8e5c9
hex7acad2

8047314 has 48 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 2407680.

The previous prime is 8047271. The next prime is 8047327. The reversal of 8047314 is 4137408.

It is a super-2 number, since 2×80473142 = 129518525229192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18997 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 28047314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8047314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

8047314 is an abundant number, since it is smaller than the sum of its proper divisors (11215566).

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

8047314 is a wasteful number, since it uses less digits than its factorization.

8047314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8047314 is about 2836.7788070274. The cubic root of 8047314 is about 200.3935085805.

It can be divided in two parts, 804 and 7314, that added together give a palindrome (8118).

The spelling of 8047314 in words is "eight million, forty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 419 582 838 873 1067 1257 1746 2134 2514 3201 3771 4609 6402 7542 9218 9603 13827 19206 27654 40643 41481 81286 82962 121929 243858 365787 447073 731574 894146 1341219 2682438 4023657 8047314