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34308051372 = 223275322311519
BaseRepresentation
bin11111111100111010…
…110101000110101100
310021112222122120212100
4133330322311012230
51030230330120442
623432204335100
72323120424250
oct377472650654
9107488576770
1034308051372
1113606000871
126795844490
133309a7321a
14193666a260
15d5be4d84c
hex7fceb51ac

34308051372 has 144 divisors (see below), whose sum is σ = 101443829760. Its totient is φ = 9573393024.

The previous prime is 34308051353. The next prime is 34308051383. The reversal of 34308051372 is 27315080343.

34308051372 is a `hidden beast` number, since 34 + 30 + 80 + 513 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2972629 + ... + 2984147.

It is an arithmetic number, because the mean of its divisors is an integer number (704471040).

Almost surely, 234308051372 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 34308051372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50721914880).

34308051372 is an abundant number, since it is smaller than the sum of its proper divisors (67135778388).

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

34308051372 is a wasteful number, since it uses less digits than its factorization.

34308051372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34308051372 in words is "thirty-four billion, three hundred eight million, fifty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 223 252 318 371 446 477 636 669 742 892 954 1113 1338 1484 1561 1908 2007 2226 2676 3122 3339 4014 4452 4683 6244 6678 8028 9366 11519 11819 13356 14049 18732 23038 23638 28098 34557 35457 46076 47276 56196 69114 70914 80633 82733 103671 106371 138228 141828 161266 165466 207342 212742 241899 248199 322532 330932 414684 425484 483798 496398 610507 725697 744597 967596 992796 1221014 1451394 1489194 1831521 2442028 2568737 2902788 2978388 3663042 4273549 5137474 5494563 7326084 7706211 8547098 10274948 10989126 12820647 15412422 17094196 17981159 21978252 23118633 25641294 30824844 35962318 38461941 46237266 51282588 53943477 71924636 76923882 92474532 107886954 136143061 153847764 161830431 215773908 272286122 323660862 408429183 544572244 647321724 816858366 953001427 1225287549 1633716732 1906002854 2450575098 2859004281 3812005708 4901150196 5718008562 8577012843 11436017124 17154025686 34308051372