Search a number
-
+
3002330340 = 2233513740583
BaseRepresentation
bin1011001011110011…
…1110110011100100
321202020102011222000
42302330332303210
522122044032330
61213530205300
7134254246452
oct26274766344
97666364860
103002330340
111300812249
126b9583830
1338b01c139
14206a519d2
151288a4560
hexb2f3ece4

3002330340 has 96 divisors (see below), whose sum is σ = 9408994560. Its totient is φ = 794757888.

The previous prime is 3002330321. The next prime is 3002330341. The reversal of 3002330340 is 430332003.

3002330340 is a `hidden beast` number, since 300 + 2 + 330 + 34 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3002330341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53689 + ... + 94271.

It is an arithmetic number, because the mean of its divisors is an integer number (98010360).

Almost surely, 23002330340 is an apocalyptic number.

3002330340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704497280).

3002330340 is an abundant number, since it is smaller than the sum of its proper divisors (6406664220).

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

3002330340 is a wasteful number, since it uses less digits than its factorization.

3002330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40738 (or 40730 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3002330340 is about 54793.5246174217. The cubic root of 3002330340 is about 1442.6229105301.

Adding to 3002330340 its reverse (430332003), we get a palindrome (3432662343).

The spelling of 3002330340 in words is "three billion, two million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 40583 73980 81166 121749 162332 202915 243498 365247 405830 486996 608745 730494 811660 1095741 1217490 1460988 1826235 2191482 2434980 3652470 4382964 5478705 5559871 7304940 10957410 11119742 16679613 21914820 22239484 27799355 33359226 50038839 55598710 66718452 83398065 100077678 111197420 150116517 166796130 200155356 250194195 300233034 333592260 500388390 600466068 750582585 1000776780 1501165170 3002330340