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30643353342 = 23272412273733
BaseRepresentation
bin11100100010011111…
…000111011011111110
32221002120212122020200
4130202133013123332
51000224144301332
622024413224330
72133241130400
oct344237073376
987076778220
1030643353342
1111aa5412a08
125b324920a6
132b7475c954
1416a9a78b70
15be535c17c
hex7227c76fe

30643353342 has 144 divisors (see below), whose sum is σ = 79487330832. Its totient is φ = 8501794560.

The previous prime is 30643353341. The next prime is 30643353359. The reversal of 30643353342 is 24335334603.

30643353342 is a `hidden beast` number, since 3 + 0 + 643 + 3 + 5 + 3 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30643353297 and 30643353306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30643353341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8206908 + ... + 8210640.

It is an arithmetic number, because the mean of its divisors is an integer number (551995353).

Almost surely, 230643353342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30643353342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39743665416).

30643353342 is an abundant number, since it is smaller than the sum of its proper divisors (48843977490).

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

30643353342 is a wasteful number, since it uses less digits than its factorization.

30643353342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 30643353342 its reverse (24335334603), we get a palindrome (54978687945).

The spelling of 30643353342 in words is "thirty billion, six hundred forty-three million, three hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 227 246 287 294 369 441 454 574 681 738 861 882 1362 1589 1722 2009 2043 2583 3178 3733 4018 4086 4767 5166 6027 7466 9307 9534 11123 11199 12054 14301 18081 18614 22246 22398 26131 27921 28602 33369 33597 36162 52262 55842 65149 66738 67194 78393 83763 100107 130298 153053 156786 167526 182917 195447 200214 235179 306106 365834 390894 456043 459159 470358 548751 586341 847391 912086 918318 1071371 1097502 1172682 1368129 1377477 1646253 1694782 2142742 2542173 2736258 2754954 3214113 3292506 4104387 5084346 5931737 6428226 7499597 7626519 8208774 9642339 11863474 14999194 15253038 17795211 19284678 22498791 34743031 35590422 41522159 44997582 53385633 67496373 69486062 83044318 104229093 106771266 124566477 134992746 208458186 243201217 249132954 312687279 373699431 486402434 625374558 729603651 747398862 1459207302 1702408519 2188810953 3404817038 4377621906 5107225557 10214451114 15321676671 30643353342