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6830406 = 234113833
BaseRepresentation
bin11010000011100101000110
3110212000120000
4122003211012
53222033111
6402222130
7112025502
oct32034506
913760500
106830406
113945870
122354946
131551c7b
14c9b302
158edc56
hex683946

6830406 has 40 divisors (see below), whose sum is σ = 16700904. Its totient is φ = 2069280.

The previous prime is 6830377. The next prime is 6830407. The reversal of 6830406 is 6040386.

It is a super-2 number, since 2×68304062 = 93308892249672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6830406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135 + ... + 3698.

Almost surely, 26830406 is an apocalyptic number.

6830406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350452).

6830406 is an abundant number, since it is smaller than the sum of its proper divisors (9870498).

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

6830406 is a wasteful number, since it uses less digits than its factorization.

6830406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6830406 is about 2613.5045437114. The cubic root of 6830406 is about 189.7356064009.

The spelling of 6830406 in words is "six million, eight hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3833 7666 11499 22998 34497 42163 68994 84326 103491 126489 206982 252978 310473 379467 620946 758934 1138401 2276802 3415203 6830406