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312984001 = 11673311283
BaseRepresentation
bin10010101001111…
…100000111000001
3210210221020100001
4102221330013001
51120110442001
651020200001
710520214541
oct2251740701
9723836301
10312984001
11150742570
1288999001
134cac5945
142d7d3321
151c726001
hex12a7c1c1

312984001 has 16 divisors (see below), whose sum is σ = 347851008. Its totient is φ = 279219600.

The previous prime is 312983969. The next prime is 312984019. The reversal of 312984001 is 100489213.

It is a happy number.

It is not a de Polignac number, because 312984001 - 25 = 312983969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312984031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243306 + ... + 244588.

It is an arithmetic number, because the mean of its divisors is an integer number (21740688).

Almost surely, 2312984001 is an apocalyptic number.

It is an amenable number.

312984001 is a deficient number, since it is larger than the sum of its proper divisors (34867007).

312984001 is a wasteful number, since it uses less digits than its factorization.

312984001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 312984001 is about 17691.3538487025. The cubic root of 312984001 is about 678.9545649917.

The spelling of 312984001 in words is "three hundred twelve million, nine hundred eighty-four thousand, one".

Divisors: 1 11 67 331 737 1283 3641 14113 22177 85961 243947 424673 945571 4671403 28453091 312984001