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33020344344 = 233131912272441
BaseRepresentation
bin11110110000001010…
…100111100000011000
310011020020121021220110
4132300022213200120
51020111202004334
623100324324320
72246163203331
oct366012474030
9104206537813
1033020344344
111300513a489
1264965436a0
1331630506c0
141853629288
15cd3d8aae9
hex7b02a7818

33020344344 has 128 divisors (see below), whose sum is σ = 89796833280. Its totient is φ = 10058265600.

The previous prime is 33020344303. The next prime is 33020344363. The reversal of 33020344344 is 44344302033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13526164 + ... + 13528604.

It is an arithmetic number, because the mean of its divisors is an integer number (701537760).

Almost surely, 233020344344 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 33020344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44898416640).

33020344344 is an abundant number, since it is smaller than the sum of its proper divisors (56776488936).

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

33020344344 is a wasteful number, since it uses less digits than its factorization.

33020344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 33020344344 its reverse (44344302033), we get a palindrome (77364646377).

The spelling of 33020344344 in words is "thirty-three billion, twenty million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 191 227 312 382 454 573 681 764 908 1146 1362 1528 1816 2292 2441 2483 2724 2951 4584 4882 4966 5448 5902 7323 7449 8853 9764 9932 11804 14646 14898 17706 19528 19864 23608 29292 29796 31733 35412 43357 58584 59592 63466 70824 86714 95199 126932 130071 173428 190398 253864 260142 346856 380796 466231 520284 554107 563641 761592 932462 1040568 1108214 1127282 1398693 1662321 1690923 1864924 2216428 2254564 2797386 3324642 3381846 3729848 4432856 4509128 5594772 6061003 6649284 6763692 7203391 11189544 12122006 13298568 13527384 14406782 18183009 21610173 24244012 28813564 36366018 43220346 48488024 57627128 72732036 86440692 105834437 145464072 172881384 211668874 317503311 423337748 635006622 846675496 1270013244 1375847681 2540026488 2751695362 4127543043 5503390724 8255086086 11006781448 16510172172 33020344344