Search a number
-
+
3300133300 = 2252291137977
BaseRepresentation
bin1100010010110100…
…0000100110110100
322111222210010211021
43010231000212310
523224313231200
61303245150524
7144531445612
oct30455004664
98458703737
103300133300
111443925aa2
1278125b444
1340792abc9
142344126b2
15144acc41a
hexc4b409b4

3300133300 has 36 divisors (see below), whose sum is σ = 7408236780. Its totient is φ = 1274533120.

The previous prime is 3300133297. The next prime is 3300133327. The reversal of 3300133300 is 33310033.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 3298664356 = 1212^2 + 57434^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566089 + ... + 571888.

It is an arithmetic number, because the mean of its divisors is an integer number (205784355).

Almost surely, 23300133300 is an apocalyptic number.

It is an amenable number.

3300133300 is an abundant number, since it is smaller than the sum of its proper divisors (4108103480).

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

3300133300 is a wasteful number, since it uses less digits than its factorization.

3300133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138020 (or 1138013 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 16.

The square root of 3300133300 is about 57446.7866812409. The cubic root of 3300133300 is about 1488.8255989243.

Adding to 3300133300 its reverse (33310033), we get a palindrome (3333443333).

The spelling of 3300133300 in words is "three billion, three hundred million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 1137977 2275954 4551908 5689885 11379770 22759540 28449425 33001333 56898850 66002666 113797700 132005332 165006665 330013330 660026660 825033325 1650066650 3300133300