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8086344 = 2337127379
BaseRepresentation
bin11110110110001101001000
3120012211101020
4132312031020
54032230334
6445152440
7125506230
oct36661510
916184336
108086344
114623432
12285b720
1318a1826
141106cc0
15a9ae49
hex7b6348

8086344 has 64 divisors (see below), whose sum is σ = 23347200. Its totient is φ = 2286144.

The previous prime is 8086321. The next prime is 8086349. The reversal of 8086344 is 4436808.

8086344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8086349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21147 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (364800).

Almost surely, 28086344 is an apocalyptic number.

8086344 is a gapful number since it is divisible by the number (84) 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 8086344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673600).

8086344 is an abundant number, since it is smaller than the sum of its proper divisors (15260856).

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

8086344 is a wasteful number, since it uses less digits than its factorization.

8086344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8086344 is about 2843.6497674643. The cubic root of 8086344 is about 200.7169601032.

The spelling of 8086344 in words is "eight million, eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 379 381 508 758 762 889 1016 1137 1516 1524 1778 2274 2653 2667 3032 3048 3556 4548 5306 5334 7112 7959 9096 10612 10668 15918 21224 21336 31836 48133 63672 96266 144399 192532 288798 336931 385064 577596 673862 1010793 1155192 1347724 2021586 2695448 4043172 8086344