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313432145 = 51317299781
BaseRepresentation
bin10010101011101…
…001100001010001
3210211210000001222
4102223221201101
51120214312040
651033534425
710524062225
oct2253514121
9724700058
10313432145
11150a19234
1288b74415
134cc21910
142d8ac785
151c7b3bb5
hex12ae9851

313432145 has 32 divisors (see below), whose sum is σ = 443711520. Its totient is φ = 210309120.

The previous prime is 313432139. The next prime is 313432157. The reversal of 313432145 is 541234313.

It can be written as a sum of positive squares in 16 ways, for example, as 81144064 + 232288081 = 9008^2 + 15241^2 .

It is not a de Polignac number, because 313432145 - 26 = 313432081 is a prime.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 27155 + ... + 36935.

It is an arithmetic number, because the mean of its divisors is an integer number (13865985).

Almost surely, 2313432145 is an apocalyptic number.

It is an amenable number.

313432145 is a deficient number, since it is larger than the sum of its proper divisors (130279375).

313432145 is a wasteful number, since it uses less digits than its factorization.

313432145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845.

The product of its digits is 4320, while the sum is 26.

The square root of 313432145 is about 17704.0149401202. The cubic root of 313432145 is about 679.2784625999.

Adding to 313432145 its reverse (541234313), we get a palindrome (854666458).

The spelling of 313432145 in words is "three hundred thirteen million, four hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 13 17 29 65 85 145 221 377 493 1105 1885 2465 6409 9781 32045 48905 127153 166277 283649 635765 831385 1418245 2161601 3687437 4822033 10808005 18437185 24110165 62686429 313432145