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312534534 = 2313192353173
BaseRepresentation
bin10010101000001…
…110011000000110
3210210002101210010
4102220032120012
51120002101114
651002411050
710513333254
oct2250163006
9723071703
10312534534
11150465904
1288800a86
134c9991a0
142d7175d4
151c687c59
hex12a0e606

312534534 has 128 divisors (see below), whose sum is σ = 757693440. Its totient is φ = 85003776.

The previous prime is 312534533. The next prime is 312534539. The reversal of 312534534 is 435435213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312534533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1806472 + ... + 1806644.

It is an arithmetic number, because the mean of its divisors is an integer number (5919480).

Almost surely, 2312534534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312534534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378846720).

312534534 is an abundant number, since it is smaller than the sum of its proper divisors (445158906).

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

312534534 is a wasteful number, since it uses less digits than its factorization.

312534534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its digits is 21600, while the sum is 30.

The square root of 312534534 is about 17678.6462717030. The cubic root of 312534534 is about 678.6294004808.

Adding to 312534534 its reverse (435435213), we get a palindrome (747969747).

The spelling of 312534534 in words is "three hundred twelve million, five hundred thirty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 53 57 69 78 106 114 138 159 173 247 299 318 346 437 494 519 598 689 741 874 897 1007 1038 1219 1311 1378 1482 1794 2014 2067 2249 2438 2622 3021 3287 3657 3979 4134 4498 5681 6042 6574 6747 7314 7958 9169 9861 11362 11937 13091 13494 15847 17043 18338 19722 23161 23874 26182 27507 31694 34086 39273 42731 46322 47541 51727 55014 69483 75601 78546 85462 95082 103454 119197 128193 138966 151202 155181 174211 210887 226803 238394 256386 301093 310362 348422 357591 421774 453606 522633 602186 632661 715182 903279 982813 1045266 1265322 1806558 1965626 2264743 2741531 2948439 4006853 4529486 5483062 5896878 6794229 8013706 8224593 12020559 13588458 16449186 24041118 52089089 104178178 156267267 312534534