Search a number
-
+
3300000021 = 366174209
BaseRepresentation
bin1100010010110010…
…0000000100010101
322111222112101000000
43010230200010111
523224300000041
61303242241513
7144530352213
oct30454400425
98458471000
103300000021
11144384494a
127811b6299
134078b2346
142343b9cb3
15144aa2bb6
hexc4b20115

3300000021 has 28 divisors (see below), whose sum is σ = 5028914860. Its totient is φ = 2163905280.

The previous prime is 3300000001. The next prime is 3300000059. The reversal of 3300000021 is 1200000033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1767277521 + 1532722500 = 42039^2 + 39150^2 .

It is not a de Polignac number, because 3300000021 - 29 = 3299999509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3299999949 and 3300000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7365 + ... + 81573.

Almost surely, 23300000021 is an apocalyptic number.

It is an amenable number.

3300000021 is a deficient number, since it is larger than the sum of its proper divisors (1728914839).

3300000021 is an frugal number, since it uses more digits than its factorization.

3300000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74288 (or 74273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3300000021 is about 57445.6266481618. The cubic root of 3300000021 is about 1488.8055561119.

Adding to 3300000021 its reverse (1200000033), we get a palindrome (4500000054).

The spelling of 3300000021 in words is "three billion, three hundred million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 61 81 183 243 549 729 1647 4941 14823 44469 74209 222627 667881 2003643 4526749 6010929 13580247 18032787 40740741 54098361 122222223 366666669 1100000007 3300000021