Search a number
-
+
3002033729 is a prime number
BaseRepresentation
bin1011001011101111…
…0110011001000001
321202012212010002102
42302323312121001
522122010034404
61213520000145
7134251602632
oct26273663101
97665763072
103002033729
11130062a412
126b9460055
1338ac47126
142069b5889
1512884671e
hexb2ef6641

3002033729 has 2 divisors, whose sum is σ = 3002033730. Its totient is φ = 3002033728.

The previous prime is 3002033711. The next prime is 3002033753. The reversal of 3002033729 is 9273302003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1785907600 + 1216126129 = 42260^2 + 34873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3002033729 is a prime.

It is not a weakly prime, because it can be changed into another prime (3002033789) 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 as a sum of consecutive naturals, namely, 1501016864 + 1501016865.

It is an arithmetic number, because the mean of its divisors is an integer number (1501016865).

Almost surely, 23002033729 is an apocalyptic number.

It is an amenable number.

3002033729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002033729 is an equidigital number, since it uses as much as digits as its factorization.

3002033729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 3002033729 is about 54790.8179259992. The cubic root of 3002033729 is about 1442.5754016656.

The spelling of 3002033729 in words is "three billion, two million, thirty-three thousand, seven hundred twenty-nine".