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6404346 = 234133041
BaseRepresentation
bin11000011011100011111010
3110001101010000
4120123203322
53114414341
6345133430
7105302364
oct30334372
913041100
106404346
113684753
12218a276
131433070
14bc9d34
158678b6
hex61b8fa

6404346 has 40 divisors (see below), whose sum is σ = 15459444. Its totient is φ = 1969920.

The previous prime is 6404341. The next prime is 6404347. The reversal of 6404346 is 6434046.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6305121 + 99225 = 2511^2 + 315^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6404341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 586 + ... + 3626.

Almost surely, 26404346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729722).

6404346 is an abundant number, since it is smaller than the sum of its proper divisors (9055098).

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

6404346 is a wasteful number, since it uses less digits than its factorization.

6404346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6404346 is about 2530.6809360328. The cubic root of 6404346 is about 185.7055695543.

The spelling of 6404346 in words is "six million, four hundred four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 3041 6082 9123 18246 27369 39533 54738 79066 82107 118599 164214 237198 246321 355797 492642 711594 1067391 2134782 3202173 6404346