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312007817 = 11217151681
BaseRepresentation
bin10010100110001…
…101110010001001
3210202002122021002
4102212031302021
51114333222232
650543224345
710506010532
oct2246156211
9722078232
10312007817
11150136100
12885a80b5
134c843514
142d61b689
151c5d1b62
hex1298dc89

312007817 has 12 divisors (see below), whose sum is σ = 363126708. Its totient is φ = 266956800.

The previous prime is 312007807. The next prime is 312007823. The reversal of 312007817 is 718700213.

It can be written as a sum of positive squares in 2 ways, for example, as 261824761 + 50183056 = 16181^2 + 7084^2 .

It is a de Polignac number, because none of the positive numbers 2k-312007817 is a prime.

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 312007817.

It is not an unprimeable number, because it can be changed into a prime (312007807) 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 11 ways as a sum of consecutive naturals, for example, 73784 + ... + 77897.

It is an arithmetic number, because the mean of its divisors is an integer number (30260559).

Almost surely, 2312007817 is an apocalyptic number.

It is an amenable number.

312007817 is a deficient number, since it is larger than the sum of its proper divisors (51118891).

312007817 is a wasteful number, since it uses less digits than its factorization.

312007817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151720 (or 151709 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 312007817 is about 17663.7430065091. The cubic root of 312007817 is about 678.2479528931.

The spelling of 312007817 in words is "three hundred twelve million, seven thousand, eight hundred seventeen".

Divisors: 1 11 17 121 187 2057 151681 1668491 2578577 18353401 28364347 312007817