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312973045 = 57211116131
BaseRepresentation
bin10010101001111…
…001011011110101
3210210220200022021
4102221321123311
51120110114140
651020033141
710520140600
oct2251713365
9723820267
10312973045
11150735310
12889927b1
134cac0968
142d7cd337
151c722b4a
hex12a796f5

312973045 has 24 divisors (see below), whose sum is σ = 476605728. Its totient is φ = 195098400.

The previous prime is 312973033. The next prime is 312973051. The reversal of 312973045 is 540379213.

It is not a de Polignac number, because 312973045 - 27 = 312972917 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312973045.

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 23 ways as a sum of consecutive naturals, for example, 55371 + ... + 60760.

It is an arithmetic number, because the mean of its divisors is an integer number (19858572).

Almost surely, 2312973045 is an apocalyptic number.

312973045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312973045 is a deficient number, since it is larger than the sum of its proper divisors (163632683).

312973045 is a wasteful number, since it uses less digits than its factorization.

312973045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116161 (or 116154 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 312973045 is about 17691.0442032120. The cubic root of 312973045 is about 678.9466426347.

The spelling of 312973045 in words is "three hundred twelve million, nine hundred seventy-three thousand, forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 2695 116131 580655 812917 1277441 4064585 5690419 6387205 8942087 28452095 44710435 62594609 312973045