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434226 = 231319293
BaseRepresentation
bin1101010000000110010
3211001122110
41222000302
5102343401
613150150
73455652
oct1520062
9731573
10434226
11277271
1218b356
13122850
14b4362
15889d6
hex6a032

434226 has 32 divisors (see below), whose sum is σ = 987840. Its totient is φ = 126144.

The previous prime is 434221. The next prime is 434237. The reversal of 434226 is 622434.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434226.

It is not an unprimeable number, because it can be changed into a prime (434221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2434226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

434226 is an abundant number, since it is smaller than the sum of its proper divisors (553614).

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

434226 is a wasteful number, since it uses less digits than its factorization.

434226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330.

The product of its digits is 1152, while the sum is 21.

The square root of 434226 is about 658.9582687849. The cubic root of 434226 is about 75.7248824783.

The spelling of 434226 in words is "four hundred thirty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 293 494 586 741 879 1482 1758 3809 5567 7618 11134 11427 16701 22854 33402 72371 144742 217113 434226