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440226 = 23237661
BaseRepresentation
bin1101011011110100010
3211100212200
41223132202
5103041401
613234030
73512313
oct1533642
9740780
10440226
11280826
12192916
131254b7
14b660a
158a686
hex6b7a2

440226 has 24 divisors (see below), whose sum is σ = 981084. Its totient is φ = 142560.

The previous prime is 440221. The next prime is 440227. The reversal of 440226 is 622044.

440226 is a `hidden beast` number, since 440 + 226 = 666.

440226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 378225 + 62001 = 615^2 + 249^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 440199 and 440208.

It is not an unprimeable number, because it can be changed into a prime (440221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 996.

2440226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490542).

440226 is an abundant number, since it is smaller than the sum of its proper divisors (540858).

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

440226 is a wasteful number, since it uses less digits than its factorization.

440226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440226 is about 663.4952901114. The cubic root of 440226 is about 76.0720692175.

It can be divided in two parts, 440 and 226, that added together give a palindrome (666).

The spelling of 440226 in words is "four hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 661 666 1322 1983 3966 5949 11898 24457 48914 73371 146742 220113 440226