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3000344204 = 22111322353331
BaseRepresentation
bin1011001011010101…
…1001111010001100
321202002200021111102
42302311121322030
522121042003304
61213415442232
7134231335124
oct26265317214
97662607442
103000344204
1112aa686010
126b8986378
1338a7a5100
14206695c84
15128610d1e
hexb2d59e8c

3000344204 has 144 divisors (see below), whose sum is σ = 6614141184. Its totient is φ = 1177862400.

The previous prime is 3000344203. The next prime is 3000344299. The reversal of 3000344204 is 4024430003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3000344203) by changing a digit.

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, 9064319 + ... + 9064649.

It is an arithmetic number, because the mean of its divisors is an integer number (45931536).

Almost surely, 23000344204 is an apocalyptic number.

It is an amenable number.

3000344204 is an abundant number, since it is smaller than the sum of its proper divisors (3613796980).

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

3000344204 is a wasteful number, since it uses less digits than its factorization.

3000344204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3000344204 is about 54775.3977986468. The cubic root of 3000344204 is about 1442.3047268726.

Adding to 3000344204 its reverse (4024430003), we get a palindrome (7024774207).

The spelling of 3000344204 in words is "three billion, three hundred forty-four thousand, two hundred four".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 53 92 106 143 169 212 253 286 299 331 338 506 572 583 598 662 676 689 1012 1166 1196 1219 1324 1378 1859 2332 2438 2756 3289 3641 3718 3887 4303 4876 6578 7282 7436 7579 7613 7774 8606 8957 13156 13409 14564 15158 15226 15548 15847 17212 17543 17914 26818 30316 30452 31694 35086 35828 42757 47333 53636 55939 63388 70172 83743 85514 94666 98527 98969 111878 167486 171028 174317 189332 192973 197054 197938 206011 223756 228059 334972 348634 385946 394108 395876 403489 412022 456118 615329 697268 771892 806978 824044 912236 1088659 1230658 1286597 1613956 2177318 2266121 2461316 2508649 2573194 2964767 4354636 4438379 4532242 5017298 5146388 5245357 5929534 8876758 9064484 10034596 10490714 11859068 14152567 17753516 20981428 28305134 32612437 56610268 57698927 65224874 68189641 115397854 130449748 136379282 230795708 272758564 750086051 1500172102 3000344204