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805330368 = 2632101109127
BaseRepresentation
bin110000000000000…
…101110111000000
32002010101000120200
4300000011313000
53122131032433
6211525005200
725646123643
oct6000056700
92063330520
10805330368
11383651697
121a5853800
13caacb15b
1478d55a5a
154aa7b613
hex30005dc0

805330368 has 168 divisors, whose sum is σ = 2371100160. Its totient is φ = 261273600.

The previous prime is 805330343. The next prime is 805330387. The reversal of 805330368 is 863033508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6341121 + ... + 6341247.

Almost surely, 2805330368 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 805330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185550080).

805330368 is an abundant number, since it is smaller than the sum of its proper divisors (1565769792).

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

805330368 is a wasteful number, since it uses less digits than its factorization.

805330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 805330368 is about 28378.3432920246. The cubic root of 805330368 is about 930.3749857915.

The spelling of 805330368 in words is "eight hundred five million, three hundred thirty thousand, three hundred sixty-eight".