Search a number
-
+
441422336 = 297112143
BaseRepresentation
bin11010010011111…
…001001000000000
31010202121120121102
4122103321020000
51401001003321
6111445113532
713640012405
oct3223711000
91122546542
10441422336
11207198153
121039b88a8
13705b5664
14428a82ac
1528b46c0b
hex1a4f9200

441422336 has 40 divisors (see below), whose sum is σ = 894478464. Its totient is φ = 217584640.

The previous prime is 441422329. The next prime is 441422353. The reversal of 441422336 is 633224144.

It is a junction number, because it is equal to n+sod(n) for n = 441422299 and 441422308.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 30281 + ... + 42423.

Almost surely, 2441422336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447239232).

441422336 is an abundant number, since it is smaller than the sum of its proper divisors (453056128).

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

441422336 is an equidigital number, since it uses as much as digits as its factorization.

441422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232 (or 12216 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 441422336 is about 21010.0532126884. The cubic root of 441422336 is about 761.4091676385.

The spelling of 441422336 in words is "four hundred forty-one million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 2272 4544 9088 12143 18176 24286 36352 48572 97144 194288 388576 777152 862153 1554304 1724306 3108608 3448612 6217216 6897224 13794448 27588896 55177792 110355584 220711168 441422336