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10304331534 = 232789979473
BaseRepresentation
bin10011001100010111…
…11001111100001110
3222121010102021111200
421212023321330032
5132100402102114
64422253330330
7513231241620
oct114613717416
928533367450
1010304331534
114408587882
121bb6a969a6
13c82a739c3
146da742c10
15404975409
hex2662f9f0e

10304331534 has 96 divisors (see below), whose sum is σ = 26070932160. Its totient is φ = 2880700416.

The previous prime is 10304331529. The next prime is 10304331593. The reversal of 10304331534 is 43513340301.

10304331534 is a `hidden beast` number, since 10 + 304 + 3 + 315 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10304331498 and 10304331507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083022 + ... + 1092494.

It is an arithmetic number, because the mean of its divisors is an integer number (271572210).

Almost surely, 210304331534 is an apocalyptic number.

10304331534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304331534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035466080).

10304331534 is an abundant number, since it is smaller than the sum of its proper divisors (15766600626).

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

10304331534 is a wasteful number, since it uses less digits than its factorization.

10304331534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10304331534 its reverse (43513340301), we get a palindrome (53817671835).

The spelling of 10304331534 in words is "ten billion, three hundred four million, three hundred thirty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 97 126 178 194 267 291 534 582 623 679 801 873 1246 1358 1602 1746 1869 2037 3738 4074 5607 6111 8633 9473 11214 12222 17266 18946 25899 28419 51798 56838 60431 66311 77697 85257 120862 132622 155394 170514 181293 198933 362586 397866 543879 596799 843097 918881 1087758 1193598 1686194 1837762 2529291 2756643 5058582 5513286 5901679 6432167 7587873 8269929 11803358 12864334 15175746 16539858 17705037 19296501 35410074 38593002 53115111 57889503 81780409 106230222 115779006 163560818 245341227 490682454 572462863 736023681 1144925726 1472047362 1717388589 3434777178 5152165767 10304331534