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3000340512 = 2532131994027
BaseRepresentation
bin1011001011010101…
…1001000000100000
321202002200002102200
42302311121000200
522121041344022
61213415413200
7134231321301
oct26265310040
97662602380
103000340512
1112aa683264
126b8984200
1338a7a3520
142066947a8
1512860ebac
hexb2d59020

3000340512 has 144 divisors (see below), whose sum is σ = 9237009600. Its totient is φ = 918314496.

The previous prime is 3000340481. The next prime is 3000340513. The reversal of 3000340512 is 2150430003.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3000340513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743043 + ... + 747069.

It is an arithmetic number, because the mean of its divisors is an integer number (64145900).

Almost surely, 23000340512 is an apocalyptic number.

3000340512 is a gapful number since it is divisible by the number (32) 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 3000340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618504800).

3000340512 is an abundant number, since it is smaller than the sum of its proper divisors (6236669088).

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

3000340512 is a wasteful number, since it uses less digits than its factorization.

3000340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000340512 is about 54775.3640973750. The cubic root of 3000340512 is about 1442.3041352748.

Adding to 3000340512 its reverse (2150430003), we get a palindrome (5150770515).

The spelling of 3000340512 in words is "three billion, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 199 208 234 288 312 398 416 468 597 624 796 936 1194 1248 1592 1791 1872 2388 2587 3184 3582 3744 4027 4776 5174 6368 7164 7761 8054 9552 10348 12081 14328 15522 16108 19104 20696 23283 24162 28656 31044 32216 36243 41392 46566 48324 52351 57312 62088 64432 72486 82784 93132 96648 104702 124176 128864 144972 157053 186264 193296 209404 248352 289944 314106 372528 386592 418808 471159 579888 628212 745056 801373 837616 942318 1159776 1256424 1602746 1675232 1884636 2404119 2512848 3205492 3769272 4808238 5025696 6410984 7212357 7538544 9616476 10417849 12821968 14424714 15077088 19232952 20835698 25643936 28849428 31253547 38465904 41671396 57698856 62507094 76931808 83342792 93760641 115397712 125014188 166685584 187521282 230795424 250028376 333371168 375042564 500056752 750085128 1000113504 1500170256 3000340512