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344324442441 = 37591226922651
BaseRepresentation
bin1010000001010110101…
…01100000100101001001
31012220202120012000001110
411000223111200211021
521120134024124231
6422102551440533
733606452320140
oct5005325404511
91186676160043
10344324442441
11123033197a11
1256895686149
1326614aaab45
1412945b9a757
158e53b57046
hex502b560949

344324442441 has 32 divisors (see below), whose sum is σ = 533644876800. Its totient is φ = 193397659200.

The previous prime is 344324442391. The next prime is 344324442499. The reversal of 344324442441 is 144244423443.

It is a happy number.

It is not a de Polignac number, because 344324442441 - 218 = 344324180297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344324442441.

It is not an unprimeable number, because it can be changed into a prime (344324442841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15189966 + ... + 15212616.

It is an arithmetic number, because the mean of its divisors is an integer number (16676402400).

Almost surely, 2344324442441 is an apocalyptic number.

It is an amenable number.

344324442441 is a deficient number, since it is larger than the sum of its proper divisors (189320434359).

344324442441 is a wasteful number, since it uses less digits than its factorization.

344324442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34989.

The product of its digits is 589824, while the sum is 39.

Adding to 344324442441 its reverse (144244423443), we get a palindrome (488568865884).

The spelling of 344324442441 in words is "three hundred forty-four billion, three hundred twenty-four million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 7 21 59 177 413 1239 12269 22651 36807 67953 85883 158557 257649 475671 723871 1336409 2171613 4009227 5067097 9354863 15201291 28064589 277905119 833715357 1945335833 5836007499 16396402021 49189206063 114774814147 344324442441