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3311340322240 = 265131445117747
BaseRepresentation
bin110000001011111011010…
…000110111110111000000
3102201120011000000100210001
4300023323100313313000
5413223111110302430
611013113031045344
7461144046221416
oct60137320676700
912646130010701
103311340322240
111067371315a15
12455915210854
131b0347c31352
14b63ac1b72b6
155b2077b83ca
hex302fb437dc0

3311340322240 has 112 divisors (see below), whose sum is σ = 7947553832064. Its totient is φ = 1314055808000.

The previous prime is 3311340322183. The next prime is 3311340322271. The reversal of 3311340322240 is 422230431133.

It is a happy number.

3311340322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3311340322199 and 3311340322208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186577047 + ... + 186594793.

It is an arithmetic number, because the mean of its divisors is an integer number (70960302072).

Almost surely, 23311340322240 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 3311340322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973776916032).

3311340322240 is an abundant number, since it is smaller than the sum of its proper divisors (4636213509824).

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

3311340322240 is a wasteful number, since it uses less digits than its factorization.

3311340322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22346 (or 22336 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3311340322240 its reverse (422230431133), we get a palindrome (3733570753373).

The spelling of 3311340322240 in words is "three trillion, three hundred eleven billion, three hundred forty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 524 655 1048 1310 2096 2620 4192 4451 5240 8384 8902 10480 17747 17804 20960 22255 35494 35608 41920 44510 70988 71216 88735 89020 141976 142432 177470 178040 283952 284864 354940 356080 567904 583081 709880 712160 1135808 1166162 1419760 1424320 2324857 2332324 2839520 2915405 4649714 4664648 5679040 5830810 9299428 9329296 11624285 11661620 18598856 18658592 23248570 23323240 37197712 37317184 46497140 46646480 74395424 78991897 92994280 93292960 148790848 157983794 185988560 186585920 315967588 371977120 394959485 631935176 743954240 789918970 1263870352 1579837940 2527740704 3159675880 5055481408 6319351760 10347938507 12638703520 20695877014 25277407040 41391754028 51739692535 82783508056 103479385070 165567016112 206958770140 331134032224 413917540280 662268064448 827835080560 1655670161120 3311340322240