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3429312246888 = 233113971106741
BaseRepresentation
bin110001111001110010111…
…100000011010001101000
3110010211122200000001220120
4301321302330003101220
5422141212413400023
611143223154523240
7502521361100613
oct61716274032150
913124580001816
103429312246888
1111023aa3a8000
12474759896520
131bb4c8bc1418
14bbda003717a
155e30e6b28e3
hex31e72f03468

3429312246888 has 128 divisors (see below), whose sum is σ = 9527189293440. Its totient is φ = 1028471347200.

The previous prime is 3429312246887. The next prime is 3429312246949. The reversal of 3429312246888 is 8886422139243.

It is not an unprimeable number, because it can be changed into a prime (3429312246881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545198 + ... + 3651938.

It is an arithmetic number, because the mean of its divisors is an integer number (74431166355).

Almost surely, 23429312246888 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 3429312246888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763594646720).

3429312246888 is an abundant number, since it is smaller than the sum of its proper divisors (6097877046552).

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

3429312246888 is a wasteful number, since it uses less digits than its factorization.

3429312246888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106880 (or 1106854 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 3429312246888 in words is "three trillion, four hundred twenty-nine billion, three hundred twelve million, two hundred forty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 121 132 194 242 264 291 363 388 484 582 726 776 968 1067 1164 1331 1452 2134 2328 2662 2904 3201 3993 4268 5324 6402 7986 8536 10648 11737 12804 15972 23474 25608 31944 35211 46948 70422 93896 129107 140844 258214 281688 387321 516428 774642 1032856 1106741 1549284 2213482 3098568 3320223 4426964 6640446 8853928 12174151 13280892 24348302 26561784 36522453 48696604 73044906 97393208 107353877 133915661 146089812 214707754 267831322 292179624 322061631 401746983 429415508 535662644 644123262 803493966 858831016 1071325288 1180892647 1288246524 1473072271 1606987932 2361785294 2576493048 2946144542 3213975864 3542677941 4419216813 4723570588 5892289084 7085355882 8838433626 9447141176 11784578168 12989819117 14170711764 17676867252 25979638234 28341423528 35353734504 38969457351 51959276468 77938914702 103918552936 142888010287 155877829404 285776020574 311755658808 428664030861 571552041148 857328061722 1143104082296 1714656123444 3429312246888