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633347041 is a prime number
BaseRepresentation
bin100101110000000…
…001101111100001
31122010202100210211
4211300001233201
52244114101131
6142502454121
721460234555
oct4560015741
91563670724
10633347041
112a5565008
12158134341
13a12a3182
1460187865
153a9085b1
hex25c01be1

633347041 has 2 divisors, whose sum is σ = 633347042. Its totient is φ = 633347040.

The previous prime is 633347003. The next prime is 633347059. The reversal of 633347041 is 140743336.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551263441 + 82083600 = 23479^2 + 9060^2 .

It is a cyclic number.

It is not a de Polignac number, because 633347041 - 215 = 633314273 is a prime.

It is a super-2 number, since 2×6333470412 = 802256948686911362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 633346994 and 633347012.

It is not a weakly prime, because it can be changed into another prime (633647041) 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, 316673520 + 316673521.

It is an arithmetic number, because the mean of its divisors is an integer number (316673521).

Almost surely, 2633347041 is an apocalyptic number.

It is an amenable number.

633347041 is a deficient number, since it is larger than the sum of its proper divisors (1).

633347041 is an equidigital number, since it uses as much as digits as its factorization.

633347041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 633347041 is about 25166.3871264828. The cubic root of 633347041 is about 858.7773508476. Note that the first 3 decimals are identical.

The spelling of 633347041 in words is "six hundred thirty-three million, three hundred forty-seven thousand, forty-one".