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312324138 = 2327350587
BaseRepresentation
bin10010100111011…
…011000000101010
3210202200201011200
4102213123000222
51114423333023
650554105030
710511466000
oct2247330052
9722621150
10312324138
11150331825
128871b176
134c9244a9
142d6a0a70
151c645743
hex129db02a

312324138 has 48 divisors (see below), whose sum is σ = 789172800. Its totient is φ = 89233704.

The previous prime is 312324127. The next prime is 312324139. The reversal of 312324138 is 831423213.

It is not an unprimeable number, because it can be changed into a prime (312324139) 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 23 ways as a sum of consecutive naturals, for example, 19120 + ... + 31467.

It is an arithmetic number, because the mean of its divisors is an integer number (16441100).

Almost surely, 2312324138 is an apocalyptic number.

312324138 is an abundant number, since it is smaller than the sum of its proper divisors (476848662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312324138 is a wasteful number, since it uses less digits than its factorization.

312324138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50616 (or 50599 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 312324138 is about 17672.6947011484. The cubic root of 312324138 is about 678.4770834859.

It can be divided in two parts, 3123 and 24138, that added together give a triangular number (27261 = T233).

The spelling of 312324138 in words is "three hundred twelve million, three hundred twenty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 50587 101174 151761 303522 354109 455283 708218 910566 1062327 2124654 2478763 3186981 4957526 6373962 7436289 14872578 17351341 22308867 34702682 44617734 52054023 104108046 156162069 312324138