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344033334234 = 2352513498081
BaseRepresentation
bin1010000000110011111…
…11000001001111011010
31012220000021102011200000
411000121333001033122
521114040013143414
6422014032153430
733566316043152
oct5003177011732
91186007364600
10344033334234
111229a3937017
1256814098876
13265996a4375
141291925d762
158e38302b09
hex5019fc13da

344033334234 has 96 divisors (see below), whose sum is σ = 778412980800. Its totient is φ = 113879520000.

The previous prime is 344033334217. The next prime is 344033334247. The reversal of 344033334234 is 432433330443.

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 47 ways as a sum of consecutive naturals, for example, 42569074 + ... + 42577154.

It is an arithmetic number, because the mean of its divisors is an integer number (8108468550).

Almost surely, 2344033334234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344033334234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389206490400).

344033334234 is an abundant number, since it is smaller than the sum of its proper divisors (434379646566).

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

344033334234 is a wasteful number, since it uses less digits than its factorization.

344033334234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 344033334234 its reverse (432433330443), we get a palindrome (776466664677).

The spelling of 344033334234 in words is "three hundred forty-four billion, thirty-three million, three hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 251 349 486 502 698 753 1047 1506 2094 2259 3141 4518 6282 6777 8081 9423 13554 16162 18846 20331 24243 28269 40662 48486 56538 60993 72729 84807 87599 121986 145458 169614 175198 218187 262797 436374 525594 654561 788391 1309122 1576782 1963683 2028331 2365173 2820269 3927366 4056662 4730346 5640538 6084993 7095519 8460807 12169986 14191038 16921614 18254979 21286557 25382421 36509958 42573114 50764842 54764937 76147263 109529874 152294526 164294811 228441789 328589622 456883578 492884433 685325367 707887519 985768866 1370650734 1415775038 2123662557 4247325114 6370987671 12741975342 19112963013 38225926026 57338889039 114677778078 172016667117 344033334234