[go: up one dir, main page]

Search a number
-
+
33030030 = 23511101991
BaseRepresentation
bin111110111111…
…1111110001110
32022011002200110
41331333332032
531423430110
63135540450
7550515315
oct175777616
968132613
1033030030
111770aa50
12b08a726
136ac61c7
14455b27c
152d76a20
hex1f7ff8e

33030030 has 64 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 7920000.

The previous prime is 33030007. The next prime is 33030073. The reversal of 33030030 is 3003033.

It is a junction number, because it is equal to n+sod(n) for n = 33029988 and 33030015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32835 + ... + 33825.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 233030030 is an apocalyptic number.

33030030 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 33030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711488).

33030030 is an abundant number, since it is smaller than the sum of its proper divisors (54392946).

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

33030030 is a wasteful number, since it uses less digits than its factorization.

33030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 81, while the sum is 12.

The square root of 33030030 is about 5747.1758281786. The cubic root of 33030030 is about 320.8506987096.

Adding to 33030030 its reverse (3003033), we get a palindrome (36033063).

The spelling of 33030030 in words is "thirty-three million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 991 1010 1111 1515 1982 2222 2973 3030 3333 4955 5555 5946 6666 9910 10901 11110 14865 16665 21802 29730 32703 33330 54505 65406 100091 109010 163515 200182 300273 327030 500455 600546 1000910 1101001 1501365 2202002 3002730 3303003 5505005 6606006 11010010 16515015 33030030