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3000340320 = 25358637243
BaseRepresentation
bin1011001011010101…
…1000111101100000
321202002200002011120
42302311120331200
522121041342240
61213415412240
7134231320605
oct26265307540
97662602146
103000340320
1112aa6830aa
126b8984080
1338a7a3403
142066946ac
1512860ead0
hexb2d58f60

3000340320 has 96 divisors (see below), whose sum is σ = 9463329792. Its totient is φ = 799053312.

The previous prime is 3000340307. The next prime is 3000340337. The reversal of 3000340320 is 230430003.

3000340320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000340320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410619 + ... + 417861.

It is an arithmetic number, because the mean of its divisors is an integer number (98576352).

Almost surely, 23000340320 is an apocalyptic number.

3000340320 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 3000340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731664896).

3000340320 is an abundant number, since it is smaller than the sum of its proper divisors (6462989472).

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

3000340320 is a wasteful number, since it uses less digits than its factorization.

3000340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3000340320 is about 54775.3623447623. The cubic root of 3000340320 is about 1442.3041045091.

Adding to 3000340320 its reverse (230430003), we get a palindrome (3230770323).

The spelling of 3000340320 in words is "three billion, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 863 1726 2589 3452 4315 5178 6904 7243 8630 10356 12945 13808 14486 17260 20712 21729 25890 27616 28972 34520 36215 41424 43458 51780 57944 69040 72430 82848 86916 103560 108645 115888 138080 144860 173832 207120 217290 231776 289720 347664 414240 434580 579440 695328 869160 1158880 1738320 3476640 6250709 12501418 18752127 25002836 31253545 37504254 50005672 62507090 75008508 93760635 100011344 125014180 150017016 187521270 200022688 250028360 300034032 375042540 500056720 600068064 750085080 1000113440 1500170160 3000340320