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808350 = 235217317
BaseRepresentation
bin11000101010110011110
31112001211220
43011112132
5201331400
625154210
76604464
oct3052636
91461756
10808350
11502364
1232b966
13223c1a
14170834
1510e7a0
hexc559e

808350 has 48 divisors (see below), whose sum is σ = 2129328. Its totient is φ = 202240.

The previous prime is 808349. The next prime is 808351. The reversal of 808350 is 53808.

It is an interprime number because it is at equal distance from previous prime (808349) and next prime (808351).

It is a self number, because there is not a number n which added to its sum of digits gives 808350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808351) by changing a digit.

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, 2392 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (44361).

2808350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064664).

808350 is an abundant number, since it is smaller than the sum of its proper divisors (1320978).

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

808350 is a wasteful number, since it uses less digits than its factorization.

808350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 808350 is about 899.0828660363. The cubic root of 808350 is about 93.1536366745.

The spelling of 808350 in words is "eight hundred eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 317 425 510 634 850 951 1275 1585 1902 2550 3170 4755 5389 7925 9510 10778 15850 16167 23775 26945 32334 47550 53890 80835 134725 161670 269450 404175 808350