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400240033 is a prime number
BaseRepresentation
bin10111110110110…
…010110110100001
31000220010022002221
4113312302312201
51304430140113
6103414311041
712626661364
oct2766626641
91026108087
10400240033
11195a1a296
12b2058481
1364bc692b
143b2280db
152520e98d
hex17db2da1

400240033 has 2 divisors, whose sum is σ = 400240034. Its totient is φ = 400240032.

The previous prime is 400240021. The next prime is 400240081. The reversal of 400240033 is 330042004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 353139264 + 47100769 = 18792^2 + 6863^2 .

It is a cyclic number.

It is not a de Polignac number, because 400240033 - 213 = 400231841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400239989 and 400240016.

It is not a weakly prime, because it can be changed into another prime (400240003) 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, 200120016 + 200120017.

It is an arithmetic number, because the mean of its divisors is an integer number (200120017).

Almost surely, 2400240033 is an apocalyptic number.

It is an amenable number.

400240033 is a deficient number, since it is larger than the sum of its proper divisors (1).

400240033 is an equidigital number, since it uses as much as digits as its factorization.

400240033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 400240033 is about 20005.9999250225. Note that the first 4 decimals coincide. The cubic root of 400240033 is about 736.9536517797.

Adding to 400240033 its reverse (330042004), we get a palindrome (730282037).

The spelling of 400240033 in words is "four hundred million, two hundred forty thousand, thirty-three".