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312345305 = 53137107509
BaseRepresentation
bin10010100111100…
…000001011011001
3210202201210012122
4102213200023121
51114430022210
650554351025
710511614466
oct2247401331
9722653178
10312345305
11150346718
128872b475
134c93100c
142d6a866d
151c64bb55
hex129e02d9

312345305 has 32 divisors (see below), whose sum is σ = 401863680. Its totient is φ = 232623360.

The previous prime is 312345287. The next prime is 312345307. The reversal of 312345305 is 503543213.

It is not a de Polignac number, because 312345305 - 28 = 312345049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312345307) 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 31 ways as a sum of consecutive naturals, for example, 613391 + ... + 613899.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240).

Almost surely, 2312345305 is an apocalyptic number.

It is an amenable number.

312345305 is a deficient number, since it is larger than the sum of its proper divisors (89518375).

312345305 is a wasteful number, since it uses less digits than its factorization.

312345305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 312345305 is about 17673.2935527026. The cubic root of 312345305 is about 678.4924105113.

Adding to 312345305 its reverse (503543213), we get a palindrome (815888518).

The spelling of 312345305 in words is "three hundred twelve million, three hundred forty-five thousand, three hundred five".

Divisors: 1 5 31 37 107 155 185 509 535 1147 2545 3317 3959 5735 15779 16585 18833 19795 54463 78895 94165 122729 272315 583823 613645 1688353 2015131 2919115 8441765 10075655 62469061 312345305