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3001330134 = 2321141457809
BaseRepresentation
bin1011001011100100…
…1010100111010110
321202011112100221100
42302321022213112
522121320031014
61213452530530
7134242612425
oct26271124726
97664470840
103001330134
111300199830
126b9180a46
1338aa5baba
142068712bc
15128758009
hexb2e4a9d6

3001330134 has 96 divisors (see below), whose sum is σ = 7291982880. Its totient is φ = 884275200.

The previous prime is 3001330121. The next prime is 3001330141. The reversal of 3001330134 is 4310331003.

3001330134 is a `hidden beast` number, since 300 + 1 + 330 + 1 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709522 + ... + 3710330.

It is an arithmetic number, because the mean of its divisors is an integer number (75958155).

Almost surely, 23001330134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001330134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645991440).

3001330134 is an abundant number, since it is smaller than the sum of its proper divisors (4290652746).

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

3001330134 is a wasteful number, since it uses less digits than its factorization.

3001330134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3001330134 is about 54784.3968115010. The cubic root of 3001330134 is about 1442.4626927226.

Adding to 3001330134 its reverse (4310331003), we get a palindrome (7311661137).

The spelling of 3001330134 in words is "three billion, one million, three hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 457 738 809 902 914 1353 1371 1618 2427 2706 2742 4059 4113 4854 5027 7281 8118 8226 8899 10054 14562 15081 17798 18737 26697 30162 33169 37474 45243 53394 56211 66338 80091 90486 99507 112422 160182 168633 199014 206107 298521 337266 364859 369713 412214 597042 618321 729718 739426 1094577 1109139 1236642 1854963 2189154 2218278 3283731 3327417 3709926 4066843 6567462 6654834 8133686 12200529 15158233 24401058 30316466 36601587 45474699 73203174 90949398 136424097 166740563 272848194 333481126 500221689 1000443378 1500665067 3001330134