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2996333 is a prime number
BaseRepresentation
bin1011011011100001101101
312122020012022
423123201231
51231340313
6144115525
734316444
oct13334155
95566168
102996333
11176720a
121005ba5
1380baa2
1457dd5b
153e2c08
hex2db86d

2996333 has 2 divisors, whose sum is σ = 2996334. Its totient is φ = 2996332.

The previous prime is 2996317. The next prime is 2996339. The reversal of 2996333 is 3336992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1646089 + 1350244 = 1283^2 + 1162^2 .

It is a cyclic number.

It is not a de Polignac number, because 2996333 - 24 = 2996317 is a prime.

It is a super-3 number, since 3×29963333 = 80703335918073774111, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2996293 and 2996302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2996339) by changing a digit.

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 as a sum of consecutive naturals, namely, 1498166 + 1498167.

It is an arithmetic number, because the mean of its divisors is an integer number (1498167).

22996333 is an apocalyptic number.

It is an amenable number.

2996333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2996333 is an equidigital number, since it uses as much as digits as its factorization.

2996333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 35.

The square root of 2996333 is about 1730.9919121706. The cubic root of 2996333 is about 144.1661694141.

The spelling of 2996333 in words is "two million, nine hundred ninety-six thousand, three hundred thirty-three".