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342313422352 = 241143179252691
BaseRepresentation
bin1001111101100110111…
…10000100111000010000
31012201120102002121002221
410332303132010320100
521102024214003402
6421131232350424
733505563036616
oct4766336047020
91181512077087
10342313422352
111221a1003840
12564140a5414
1326384275825
14127d4a736b6
158d87319337
hex4fb3784e10

342313422352 has 80 divisors (see below), whose sum is σ = 744491278080. Its totient is φ = 151128835200.

The previous prime is 342313422323. The next prime is 342313422359. The reversal of 342313422352 is 253224313243.

It is not an unprimeable number, because it can be changed into a prime (342313422359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1228327 + ... + 1481017.

It is an arithmetic number, because the mean of its divisors is an integer number (9306140976).

Almost surely, 2342313422352 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 342313422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372245639040).

342313422352 is an abundant number, since it is smaller than the sum of its proper divisors (402177855728).

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

342313422352 is a wasteful number, since it uses less digits than its factorization.

342313422352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252932 (or 252926 counting only the distinct ones).

The product of its digits is 103680, while the sum is 34.

Adding to 342313422352 its reverse (253224313243), we get a palindrome (595537735595).

The spelling of 342313422352 in words is "three hundred forty-two billion, three hundred thirteen million, four hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 179 344 358 473 688 716 946 1432 1892 1969 2864 3784 3938 7568 7697 7876 15394 15752 30788 31504 61576 84667 123152 169334 252691 338668 505382 677336 1010764 1354672 2021528 2779601 4043056 5559202 10865713 11118404 21731426 22236808 43462852 44473616 45231689 86925704 90463378 119522843 173851408 180926756 239045686 361853512 478091372 497548579 723707024 956182744 995097158 1912365488 1944962627 1990194316 3889925254 3980388632 7779850508 7960777264 15559701016 21394588897 31119402032 42789177794 85578355588 171156711176 342313422352