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8330076342 = 233723898093
BaseRepresentation
bin1111100001000001…
…01110000010110110
3210111112111201112000
413300200232002312
5114024444420332
63454330240130
7413266323600
oct76040560266
923445451460
108330076342
113595124715
121745886046
13a29a41873
1459046a170
1533b49ab7c
hex1f082e0b6

8330076342 has 96 divisors (see below), whose sum is σ = 21591554400. Its totient is φ = 2373610176.

The previous prime is 8330076329. The next prime is 8330076353. The reversal of 8330076342 is 2436700338.

8330076342 is a `hidden beast` number, since 8 + 3 + 300 + 7 + 6 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8330076297 and 8330076306.

It is a congruent number.

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, 1025248 + ... + 1033340.

It is an arithmetic number, because the mean of its divisors is an integer number (224912025).

Almost surely, 28330076342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8330076342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795777200).

8330076342 is an abundant number, since it is smaller than the sum of its proper divisors (13261478058).

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

8330076342 is a wasteful number, since it uses less digits than its factorization.

8330076342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 8330076342 is about 91269.2518978873. The cubic root of 8330076342 is about 2027.1365017172.

The spelling of 8330076342 in words is "eight billion, three hundred thirty million, seventy-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 389 441 778 882 1167 1323 2334 2646 2723 3501 5446 7002 8093 8169 10503 16186 16338 19061 21006 24279 24507 38122 48558 49014 56651 57183 72837 73521 113302 114366 145674 147042 169953 171549 218511 339906 343098 396557 437022 509859 514647 793114 1019718 1029294 1189671 1529577 2379342 3059154 3148177 3569013 6296354 7138026 9444531 10707039 18889062 21414078 22037239 28333593 44074478 56667186 66111717 85000779 132223434 154260673 170001558 198335151 308521346 396670302 462782019 595005453 925564038 1190010906 1388346057 2776692114 4165038171 8330076342