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6406345 = 511210589
BaseRepresentation
bin11000011100000011001001
3110001110212001
4120130003021
53120000340
6345151001
7105311251
oct30340311
913043761
106406345
113686200
12218b461
131433c4a
14bca961
1586829a
hex61c0c9

6406345 has 12 divisors (see below), whose sum is σ = 8450820. Its totient is φ = 4658720.

The previous prime is 6406343. The next prime is 6406369. The reversal of 6406345 is 5436046.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 4888521 = 1232^2 + 2211^2 .

It is not a de Polignac number, because 6406345 - 21 = 6406343 is a prime.

6406345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6406343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4690 + ... + 5899.

It is an arithmetic number, because the mean of its divisors is an integer number (704235).

Almost surely, 26406345 is an apocalyptic number.

It is an amenable number.

6406345 is a deficient number, since it is larger than the sum of its proper divisors (2044475).

6406345 is a wasteful number, since it uses less digits than its factorization.

6406345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 6406345 is about 2531.0758582073. The cubic root of 6406345 is about 185.7248890818.

Subtracting from 6406345 its reverse (5436046), we obtain a cube (970299 = 993).

It can be divided in two parts, 6 and 406345, that added together give a triangular number (406351 = T901).

The spelling of 6406345 in words is "six million, four hundred six thousand, three hundred forty-five".

Divisors: 1 5 11 55 121 605 10589 52945 116479 582395 1281269 6406345