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331341223434 = 2313172003124753
BaseRepresentation
bin1001101001001010111…
…10011101011000001010
31011200020201222010210020
410310211132131120022
520412041323122214
6412114400201310
732636641633524
oct4644536353012
91150221863706
10331341223434
11118580534351
1254271609236
1325326033330
141207375ca14
158943e1c4a9
hex4d2579d60a

331341223434 has 64 divisors (see below), whose sum is σ = 756021216384. Its totient is φ = 95905345536.

The previous prime is 331341223399. The next prime is 331341223457. The reversal of 331341223434 is 434322143133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 331341223395 and 331341223404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593602 + ... + 2718354.

It is an arithmetic number, because the mean of its divisors is an integer number (11812831506).

Almost surely, 2331341223434 is an apocalyptic number.

331341223434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331341223434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378010608192).

331341223434 is an abundant number, since it is smaller than the sum of its proper divisors (424679992950).

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

331341223434 is a wasteful number, since it uses less digits than its factorization.

331341223434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126791.

The product of its digits is 62208, while the sum is 33.

Adding to 331341223434 its reverse (434322143133), we get a palindrome (765663366567).

The spelling of 331341223434 in words is "three hundred thirty-one billion, three hundred forty-one million, two hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 2003 4006 6009 12018 26039 34051 52078 68102 78117 102153 124753 156234 204306 249506 374259 442663 748518 885326 1327989 1621789 2120801 2655978 3243578 4241602 4865367 6362403 9730734 12724806 27570413 55140826 82711239 165422478 249880259 499760518 749640777 1499281554 3248443367 4247964403 6496886734 8495928806 9745330101 12743893209 19490660202 25487786418 55223537239 110447074478 165670611717 331341223434