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313400441 is a prime number
BaseRepresentation
bin10010101011100…
…001110001111001
3210211201101120202
4102223201301321
51120212303231
651033131545
710523600624
oct2253416171
9724641522
10313400441
111509a7432
1288b59bb5
134cc10363
142d8a0dbb
151c7a95cb
hex12ae1c79

313400441 has 2 divisors, whose sum is σ = 313400442. Its totient is φ = 313400440.

The previous prime is 313400413. The next prime is 313400453. The reversal of 313400441 is 144004313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231678841 + 81721600 = 15221^2 + 9040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313400441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313400411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156700220 + 156700221.

It is an arithmetic number, because the mean of its divisors is an integer number (156700221).

Almost surely, 2313400441 is an apocalyptic number.

It is an amenable number.

313400441 is a deficient number, since it is larger than the sum of its proper divisors (1).

313400441 is an equidigital number, since it uses as much as digits as its factorization.

313400441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 313400441 is about 17703.1195273601. The cubic root of 313400441 is about 679.2555585776.

Adding to 313400441 its reverse (144004313), we get a palindrome (457404754).

The spelling of 313400441 in words is "three hundred thirteen million, four hundred thousand, four hundred forty-one".