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353000313 = 32371060061
BaseRepresentation
bin10101000010100…
…101101101111001
3220121020021101200
4111002211231321
51210332002223
655010004413
711514311301
oct2502455571
9817207350
10353000313
111712943a6
129a276709
1358196a33
1434c4c601
1520ecca43
hex150a5b79

353000313 has 12 divisors (see below), whose sum is σ = 523670628. Its totient is φ = 228972960.

The previous prime is 353000293. The next prime is 353000327. The reversal of 353000313 is 313000353.

353000313 is a `hidden beast` number, since 353 + 0 + 0 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183792249 + 169208064 = 13557^2 + 13008^2 .

It is not a de Polignac number, because 353000313 - 28 = 353000057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353000513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529698 + ... + 530363.

It is an arithmetic number, because the mean of its divisors is an integer number (43639219).

Almost surely, 2353000313 is an apocalyptic number.

It is an amenable number.

353000313 is a deficient number, since it is larger than the sum of its proper divisors (170670315).

353000313 is a wasteful number, since it uses less digits than its factorization.

353000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060104 (or 1060101 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 353000313 is about 18788.3025577086. The cubic root of 353000313 is about 706.7378703568.

Adding to 353000313 its reverse (313000353), we get a palindrome (666000666).

The spelling of 353000313 in words is "three hundred fifty-three million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 1060061 3180183 9540549 39222257 117666771 353000313