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312930945 = 345772669
BaseRepresentation
bin10010101001101…
…111001010000001
3210210211112120000
4102221233022001
51120102242240
651015110213
710516604055
oct2251571201
9723745500
10312930945
11150706718
1288972369
134caa7752
142d7bbc65
151c715430
hex12a6f281

312930945 has 20 divisors (see below), whose sum is σ = 560958420. Its totient is φ = 166896288.

The previous prime is 312930913. The next prime is 312930973. The reversal of 312930945 is 549039213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33907329 + 279023616 = 5823^2 + 16704^2 .

It is not a de Polignac number, because 312930945 - 25 = 312930913 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 19 ways as a sum of consecutive naturals, for example, 385930 + ... + 386739.

It is an arithmetic number, because the mean of its divisors is an integer number (28047921).

Almost surely, 2312930945 is an apocalyptic number.

It is an amenable number.

312930945 is a deficient number, since it is larger than the sum of its proper divisors (248027475).

312930945 is an equidigital number, since it uses as much as digits as its factorization.

312930945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772686 (or 772677 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 312930945 is about 17689.8542956125. The cubic root of 312930945 is about 678.9161981221.

The spelling of 312930945 in words is "three hundred twelve million, nine hundred thirty thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 772669 2318007 3863345 6954021 11590035 20862063 34770105 62586189 104310315 312930945