Search a number
-
+
3033364230 = 2325131728971
BaseRepresentation
bin1011010011001101…
…0111011100000110
321211101210212110100
42310303113130012
522203020123410
61220555304530
7135112112331
oct26463273406
97741725410
103033364230
111317289496
12707a4b146
133945968a0
1420ac0d618
1512b4848c0
hexb4cd7706

3033364230 has 144 divisors (see below), whose sum is σ = 9023427504. Its totient is φ = 702673920.

The previous prime is 3033364207. The next prime is 3033364237. The reversal of 3033364230 is 324633303.

3033364230 is a `hidden beast` number, since 303 + 336 + 4 + 23 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3033364194 and 3033364203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033364237) 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 71 ways as a sum of consecutive naturals, for example, 333645 + ... + 342615.

It is an arithmetic number, because the mean of its divisors is an integer number (62662691).

Almost surely, 23033364230 is an apocalyptic number.

3033364230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033364230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511713752).

3033364230 is an abundant number, since it is smaller than the sum of its proper divisors (5990063274).

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

3033364230 is a wasteful number, since it uses less digits than its factorization.

3033364230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

The square root of 3033364230 is about 55075.9859648468. The cubic root of 3033364230 is about 1447.5764874972.

Adding to 3033364230 its reverse (324633303), we get a palindrome (3357997533).

The spelling of 3033364230 in words is "three billion, thirty-three million, three hundred sixty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 289 306 390 442 510 578 585 663 765 867 1105 1170 1326 1445 1530 1734 1989 2210 2601 2890 3315 3757 3978 4335 5202 6630 7514 8670 8971 9945 11271 13005 17942 18785 19890 22542 26010 26913 33813 37570 44855 53826 56355 67626 80739 89710 112710 116623 134565 152507 161478 169065 233246 269130 305014 338130 349869 403695 457521 583115 699738 762535 807390 915042 1049607 1166230 1372563 1525070 1749345 1982591 2099214 2287605 2592619 2745126 3498690 3965182 4575210 5185238 5248035 5947773 6862815 7777857 9912955 10496070 11895546 12963095 13725630 15555714 17843319 19825910 23333571 25926190 29738865 33704047 35686638 38889285 46667142 59477730 67408094 77778570 89216595 101112141 116667855 168520235 178433190 202224282 233335710 303336423 337040470 505560705 606672846 1011121410 1516682115 3033364230