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805341042 = 23411538527
BaseRepresentation
bin110000000000001…
…000011101110010
32002010101120020000
4300000020131302
53122131403132
6211525130430
725646200032
oct6000103562
92063346200
10805341042
11383659710
121a5859a16
13cab02c7c
1478d598c2
154aa7e87c
hex30008772

805341042 has 80 divisors (see below), whose sum is σ = 2005990272. Its totient is φ = 239410080.

The previous prime is 805340999. The next prime is 805341059. The reversal of 805341042 is 240143508.

805341042 is a `hidden beast` number, since 80 + 534 + 10 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 805340997 and 805341015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90183 + ... + 98709.

Almost surely, 2805341042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805341042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002995136).

805341042 is an abundant number, since it is smaller than the sum of its proper divisors (1200649230).

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

805341042 is a wasteful number, since it uses less digits than its factorization.

805341042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 805341042 is about 28378.5313573483. The cubic root of 805341042 is about 930.3790962283.

The spelling of 805341042 in words is "eight hundred five million, three hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 318 477 583 594 891 954 1166 1431 1749 1782 2862 3498 4293 5247 8527 8586 10494 15741 17054 25581 31482 47223 51162 76743 93797 94446 153486 187594 230229 281391 451931 460458 562782 690687 844173 903862 1355793 1381374 1688346 2532519 2711586 4067379 4971241 5065038 7597557 8134758 9942482 12202137 14913723 15195114 24404274 29827446 36606411 44741169 73212822 89482338 134223507 268447014 402670521 805341042