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806830344 = 233229386413
BaseRepresentation
bin110000000101110…
…100000100001000
32002020012020011100
4300011310010020
53123022032334
6212021101400
725664642025
oct6005640410
92066166140
10806830344
11384486641
121a6257860
13cb204b08
147922654c
154ac75c99
hex30174108

806830344 has 48 divisors (see below), whose sum is σ = 2260521900. Its totient is φ = 259668864.

The previous prime is 806830331. The next prime is 806830357. The reversal of 806830344 is 443038608.

It is an interprime number because it is at equal distance from previous prime (806830331) and next prime (806830357).

It can be written as a sum of positive squares in 2 ways, for example, as 737774244 + 69056100 = 27162^2 + 8310^2 .

It is a super-3 number, since 3×8068303443 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 806830299 and 806830308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191119 + ... + 195294.

Almost surely, 2806830344 is an apocalyptic number.

It is an amenable number.

806830344 is an abundant number, since it is smaller than the sum of its proper divisors (1453691556).

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

806830344 is a wasteful number, since it uses less digits than its factorization.

806830344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386454 (or 386447 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 806830344 is about 28404.7591787010. The cubic root of 806830344 is about 930.9522539020.

The spelling of 806830344 in words is "eight hundred six million, eight hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 386413 772826 1159239 1545652 2318478 3091304 3477717 4636956 6955434 9273912 11205977 13910868 22411954 27821736 33617931 44823908 67235862 89647816 100853793 134471724 201707586 268943448 403415172 806830344