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312973046 = 22973193383
BaseRepresentation
bin10010101001111…
…001011011110110
3210210220200022022
4102221321123312
51120110114141
651020033142
710520140601
oct2251713366
9723820268
10312973046
11150735311
12889927b2
134cac0969
142d7cd338
151c722b4b
hex12a796f6

312973046 has 32 divisors (see below), whose sum is σ = 496143360. Its totient is φ = 147861504.

The previous prime is 312973033. The next prime is 312973051. The reversal of 312973046 is 640379213.

It is a junction number, because it is equal to n+sod(n) for n = 312972997 and 312973015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816971 + ... + 817353.

It is an arithmetic number, because the mean of its divisors is an integer number (15504480).

Almost surely, 2312973046 is an apocalyptic number.

312973046 is a deficient number, since it is larger than the sum of its proper divisors (183170314).

312973046 is a wasteful number, since it uses less digits than its factorization.

312973046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 312973046 is about 17691.0442314749. The cubic root of 312973046 is about 678.9466433578.

It can be divided in two parts, 31297 and 3046, that added together give a palindrome (34343).

The spelling of 312973046 in words is "three hundred twelve million, nine hundred seventy-three thousand, forty-six".

Divisors: 1 2 29 58 73 146 193 383 386 766 2117 4234 5597 11107 11194 14089 22214 27959 28178 55918 73919 147838 408581 810811 817162 1621622 2143651 4287302 5396087 10792174 156486523 312973046