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34220030064 = 2431175378599
BaseRepresentation
bin11111110111101011…
…000011100001110000
310021022212000122022220
4133313223003201300
51030040311430224
623415342001040
72321001312333
oct376753034160
9107285018286
1034220030064
1113570351090
126770276180
1332c4764acc
141928ab661a
15d54363279
hex7f7ac3870

34220030064 has 80 divisors (see below), whose sum is σ = 96462278400. Its totient is φ = 10367124480.

The previous prime is 34220030057. The next prime is 34220030069. The reversal of 34220030064 is 46003002243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220030069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3975237 + ... + 3983835.

It is an arithmetic number, because the mean of its divisors is an integer number (1205778480).

Almost surely, 234220030064 is an apocalyptic number.

It is an amenable number.

34220030064 is an abundant number, since it is smaller than the sum of its proper divisors (62242248336).

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

34220030064 is a wasteful number, since it uses less digits than its factorization.

34220030064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16158 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 34220030064 in words is "thirty-four billion, two hundred twenty million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 7537 8599 15074 17198 22611 25797 30148 34396 45222 51594 60296 68792 82907 90444 94589 103188 120592 137584 165814 180888 189178 206376 248721 283767 331628 361776 378356 412752 497442 567534 663256 756712 994884 1135068 1326512 1513424 1989768 2270136 3979536 4540272 64810663 129621326 194431989 259242652 388863978 518485304 712917293 777727956 1036970608 1425834586 1555455912 2138751879 2851669172 3110911824 4277503758 5703338344 8555007516 11406676688 17110015032 34220030064