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808257340 = 2251119210177
BaseRepresentation
bin110000001011010…
…000011100111100
32002022212201122001
4300023100130330
53123403213330
6212111432044
726013034252
oct6013203474
92068781561
10808257340
11385270780
121a6825624
13cb5b44a7
14794b85d2
154ae589ca
hex302d073c

808257340 has 72 divisors (see below), whose sum is σ = 1954420272. Its totient is φ = 278415360.

The previous prime is 808257311. The next prime is 808257361. The reversal of 808257340 is 43752808.

It is a self number, because there is not a number n which added to its sum of digits gives 808257340.

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, 74332 + ... + 84508.

It is an arithmetic number, because the mean of its divisors is an integer number (27144726).

Almost surely, 2808257340 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 808257340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977210136).

808257340 is an abundant number, since it is smaller than the sum of its proper divisors (1146162932).

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

808257340 is a wasteful number, since it uses less digits than its factorization.

808257340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 808257340 is about 28429.8670415463. The cubic root of 808257340 is about 931.5007718264.

The spelling of 808257340 in words is "eight hundred eight million, two hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 7220 7942 10177 15884 19855 20354 39710 40708 50885 79420 101770 111947 193363 203540 223894 386726 447788 559735 773452 966815 1119470 1933630 2126993 2238940 3673897 3867260 4253986 7347794 8507972 10634965 14695588 18369485 21269930 36738970 40412867 42539860 73477940 80825734 161651468 202064335 404128670 808257340