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808000320 = 26352929023
BaseRepresentation
bin110000001010010…
…001101101000000
32002022101200001210
4300022101231000
53123322002240
6212102130120
726010614031
oct6012215500
92068350053
10808000320
11385105666
121a6720940
13cb5244ca
147944ca88
154ae07780
hex30291b40

808000320 has 112 divisors (see below), whose sum is σ = 2653954560. Its totient is φ = 208029696.

The previous prime is 808000313. The next prime is 808000331. The reversal of 808000320 is 23000808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13329 + ... + 42351.

Almost surely, 2808000320 is an apocalyptic number.

808000320 is a gapful number since it is divisible by the number (80) 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 808000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326977280).

808000320 is an abundant number, since it is smaller than the sum of its proper divisors (1845954240).

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

808000320 is a wasteful number, since it uses less digits than its factorization.

808000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 29062 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 808000320 is about 28425.3464358836. The cubic root of 808000320 is about 931.4020245181.

The spelling of 808000320 in words is "eight hundred eight million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 9280 13920 27840 29023 58046 87069 116092 145115 174138 232184 290230 348276 435345 464368 580460 696552 841667 870690 928736 1160920 1393104 1683334 1741380 1857472 2321840 2525001 2786208 3366668 3482760 4208335 4643680 5050002 5572416 6733336 6965520 8416670 9287360 10100004 12625005 13466672 13931040 16833340 20200008 25250010 26933344 27862080 33666680 40400016 50500020 53866688 67333360 80800032 101000040 134666720 161600064 202000080 269333440 404000160 808000320