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3000341344 = 2572111313381
BaseRepresentation
bin1011001011010101…
…1001001101100000
321202002200010120111
42302311121031200
522121041410334
61213415421104
7134231323600
oct26265311540
97662603514
103000341344
1112aa683950
126b8984794
1338a7a3a10
14206694c00
15128610064
hexb2d59360

3000341344 has 144 divisors (see below), whose sum is σ = 8073200016. Its totient is φ = 1078963200.

The previous prime is 3000341341. The next prime is 3000341369. The reversal of 3000341344 is 4431430003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000341341) 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, 217534 + ... + 230914.

It is an arithmetic number, because the mean of its divisors is an integer number (56063889).

Almost surely, 23000341344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036600008).

3000341344 is an abundant number, since it is smaller than the sum of its proper divisors (5072858672).

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

3000341344 is a wasteful number, since it uses less digits than its factorization.

3000341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3000341344 is about 54775.3716920296. The cubic root of 3000341344 is about 1442.3042685926.

Adding to 3000341344 its reverse (4431430003), we get a palindrome (7431771347).

The spelling of 3000341344 in words is "three billion, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 10192 13381 14014 16016 17248 20384 26762 28028 32032 53524 56056 93667 107048 112112 147191 173953 187334 214096 224224 294382 347906 374668 428192 588764 655669 695812 749336 1030337 1177528 1217671 1311338 1391624 1498672 1913483 2060674 2355056 2435342 2622676 2783248 2997344 3826966 4121348 4710112 4870684 5245352 5566496 7212359 7653932 8242696 8523697 9741368 10490704 13394381 14424718 15307864 16485392 17047394 19482736 20981408 26788762 28849436 30615728 32970784 34094788 38965472 53577524 57698872 61231456 68189576 93760667 107155048 115397744 136379152 187521334 214310096 230795488 272758304 375042668 428620192 750085336 1500170672 3000341344