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312332124 = 2231371163173
BaseRepresentation
bin10010100111011…
…100111101011100
3210202201010010110
4102213130331130
51114424111444
650554210020
710511531166
oct2247347534
9722633113
10312332124
11150337825
1288723910
134c928010
142d6a3936
151c647cb9
hex129dcf5c

312332124 has 96 divisors (see below), whose sum is σ = 805400064. Its totient is φ = 93623040.

The previous prime is 312332123. The next prime is 312332159. The reversal of 312332124 is 421233213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312332124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1805302 + ... + 1805474.

It is an arithmetic number, because the mean of its divisors is an integer number (8389584).

Almost surely, 2312332124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312332124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402700032).

312332124 is an abundant number, since it is smaller than the sum of its proper divisors (493067940).

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

312332124 is a wasteful number, since it uses less digits than its factorization.

312332124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 312332124 is about 17672.9206414786. The cubic root of 312332124 is about 678.4828662301.

Adding to 312332124 its reverse (421233213), we get a palindrome (733565337).

The spelling of 312332124 in words is "three hundred twelve million, three hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 163 173 213 284 326 346 426 489 519 652 692 852 923 978 1038 1846 1956 2076 2119 2249 2769 3692 4238 4498 5538 6357 6747 8476 8996 11076 11573 12283 12714 13494 23146 24566 25428 26988 28199 34719 36849 46292 49132 56398 69438 73698 84597 112796 138876 147396 150449 159679 169194 300898 319358 338388 366587 451347 479037 601796 638716 733174 902694 958074 1099761 1466348 1805388 1916148 2002129 2199522 4004258 4399044 6006387 8008516 12012774 24025548 26027677 52055354 78083031 104110708 156166062 312332124