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3443305541346 = 2321153601545959
BaseRepresentation
bin110010000110110101000…
…000001110111011100010
3110012011202212212002012200
4302012311000032323202
5422403342204310341
611153455511434030
7503525215120506
oct62066500167342
913164685762180
103443305541346
111108330236270
12477404085916
131bc918cc3108
14bc92a686306
155e87ce1ddb6
hex321b500eee2

3443305541346 has 96 divisors (see below), whose sum is σ = 8306095674240. Its totient is φ = 1022033376000.

The previous prime is 3443305541297. The next prime is 3443305541359. The reversal of 3443305541346 is 6431455033443.

3443305541346 is a `hidden beast` number, since 3 + 4 + 43 + 3 + 0 + 554 + 13 + 46 = 666.

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, 6033915 + ... + 6579873.

It is an arithmetic number, because the mean of its divisors is an integer number (86521829940).

Almost surely, 23443305541346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443305541346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153047837120).

3443305541346 is an abundant number, since it is smaller than the sum of its proper divisors (4862790132894).

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

3443305541346 is a wasteful number, since it uses less digits than its factorization.

3443305541346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546632 (or 546629 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 3443305541346 in words is "three trillion, four hundred forty-three billion, three hundred five million, five hundred forty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 601 954 1166 1202 1749 1803 3498 3606 5247 5409 6611 10494 10818 13222 19833 31853 39666 59499 63706 95559 118998 191118 286677 350383 545959 573354 700766 1051149 1091918 1637877 2102298 3153447 3275754 4913631 6005549 6306894 9827262 12011098 18016647 28935827 36033294 54049941 57871654 86807481 108099882 173614962 260422443 318294097 328121359 520844886 636588194 656242718 954882291 984364077 1909764582 1968728154 2864646873 2953092231 3609334949 5729293746 5906184462 7218669898 10828004847 17390432027 21656009694 32484014541 34780864054 52171296081 64968029082 104342592162 156513888243 191294752297 313027776486 382589504594 573884256891 1147768513782 1721652770673 3443305541346