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312114312 = 233213133091
BaseRepresentation
bin10010100110100…
…111110010001000
3210202022001100100
4102212213302020
51114400124222
650545405400
710506633156
oct2246476210
9722261310
10312114312
111501a9114
1288639860
134c87cb33
142d6483d6
151c6034ac
hex129a7c88

312114312 has 48 divisors (see below), whose sum is σ = 851788080. Its totient is φ = 103240800.

The previous prime is 312114289. The next prime is 312114329. The reversal of 312114312 is 213411213.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7114 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (17745585).

Almost surely, 2312114312 is an apocalyptic number.

It is an amenable number.

312114312 is an abundant number, since it is smaller than the sum of its proper divisors (539673768).

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

312114312 is a wasteful number, since it uses less digits than its factorization.

312114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33234 (or 33227 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312114312 is about 17666.7572576294. The cubic root of 312114312 is about 678.3251110021.

Adding to 312114312 its reverse (213411213), we get a palindrome (525525525).

The spelling of 312114312 in words is "three hundred twelve million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 33091 66182 99273 132364 198546 264728 297819 397092 595638 794184 1191276 2382552 4334921 8669842 13004763 17339684 26009526 34679368 39014289 52019052 78028578 104038104 156057156 312114312