Search a number
-
+
3033132330 = 235294318089
BaseRepresentation
bin1011010011001001…
…1110110100101010
321211101101002100110
42310302132310222
522202440213310
61220550315150
7135110125254
oct26462366452
97741332313
103033132330
111317140238
12707958ab6
13394515177
1420ab8ccd4
1512b43ad20
hexb4c9ed2a

3033132330 has 64 divisors (see below), whose sum is σ = 7548940800. Its totient is φ = 779036160.

The previous prime is 3033132269. The next prime is 3033132331. The reversal of 3033132330 is 332313303.

It is a junction number, because it is equal to n+sod(n) for n = 3033132297 and 3033132306.

It is not an unprimeable number, because it can be changed into a prime (3033132331) 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 31 ways as a sum of consecutive naturals, for example, 370926 + ... + 379014.

It is an arithmetic number, because the mean of its divisors is an integer number (117952200).

Almost surely, 23033132330 is an apocalyptic number.

3033132330 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 3033132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774470400).

3033132330 is an abundant number, since it is smaller than the sum of its proper divisors (4515808470).

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

3033132330 is a wasteful number, since it uses less digits than its factorization.

3033132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559.

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 3033132330 is about 55073.8806513578. The cubic root of 3033132330 is about 1447.5395975935.

Adding to 3033132330 its reverse (332313303), we get a palindrome (3365445633).

The spelling of 3033132330 in words is "three billion, thirty-three million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 431 435 862 870 1293 2155 2586 4310 6465 8089 12499 12930 16178 24267 24998 37497 40445 48534 62495 74994 80890 121335 124990 187485 234581 242670 374970 469162 703743 1172905 1407486 2345810 3486359 3518715 6972718 7037430 10459077 17431795 20918154 34863590 52295385 101104411 104590770 202208822 303313233 505522055 606626466 1011044110 1516566165 3033132330