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312433212 = 22373135839
BaseRepresentation
bin10010100111110…
…101101000111100
3210202220020210110
4102213311220330
51114440330322
651000310020
710512432000
oct2247655074
9722806713
10312433212
111503a6773
1288772310
134c962030
142d6cc700
151c667c0c
hex129f5a3c

312433212 has 96 divisors (see below), whose sum is σ = 915712000. Its totient is φ = 82385856.

The previous prime is 312433189. The next prime is 312433213. The reversal of 312433212 is 212334213.

It is a super-2 number, since 2×3124332122 = 195229023921273888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312433213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50589 + ... + 56427.

Almost surely, 2312433212 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 312433212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457856000).

312433212 is an abundant number, since it is smaller than the sum of its proper divisors (603278788).

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

312433212 is a wasteful number, since it uses less digits than its factorization.

312433212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5864 counting only the distinct ones).

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

The square root of 312433212 is about 17675.7803788121. The cubic root of 312433212 is about 678.5560565646.

Adding to 312433212 its reverse (212334213), we get a palindrome (524767425).

The spelling of 312433212 in words is "three hundred twelve million, four hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2548 3822 4116 4459 5839 7644 8918 11678 13377 17517 17836 23356 26754 35034 40873 53508 70068 75907 81746 122619 151814 163492 227721 245238 286111 303628 455442 490476 531349 572222 858333 910884 1062698 1144444 1594047 1716666 2002777 2125396 3188094 3433332 3719443 4005554 6008331 6376188 7438886 8011108 11158329 12016662 14877772 22316658 24033324 26036101 44633316 52072202 78108303 104144404 156216606 312433212