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312232312 = 23721934127
BaseRepresentation
bin10010100111000…
…100100101111000
3210202112001012201
4102213010211320
51114412413222
650552115544
710510634200
oct2247044570
9722461181
10312232312
11150279837
1288695bb4
134c8c1762
142d679400
151c628427
hex129c4978

312232312 has 48 divisors (see below), whose sum is σ = 684711360. Its totient is φ = 133088256.

The previous prime is 312232289. The next prime is 312232321. The reversal of 312232312 is 213232213.

312232312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 312232312.

It is a congruent number.

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, 73593 + ... + 77719.

It is an arithmetic number, because the mean of its divisors is an integer number (14264820).

Almost surely, 2312232312 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 312232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342355680).

312232312 is an abundant number, since it is smaller than the sum of its proper divisors (372479048).

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

312232312 is a wasteful number, since it uses less digits than its factorization.

312232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4329 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 312232312 is about 17670.0965475574. The cubic root of 312232312 is about 678.4105842566.

Adding to 312232312 its reverse (213232213), we get a palindrome (525464525).

Subtracting from 312232312 its reverse (213232213), we obtain a palindrome (99000099).

The spelling of 312232312 in words is "three hundred twelve million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 386 392 772 1351 1544 2702 4127 5404 8254 9457 10808 16508 18914 28889 33016 37828 57778 75656 115556 202223 231112 404446 796511 808892 1593022 1617784 3186044 5575577 6372088 11151154 22302308 39029039 44604616 78058078 156116156 312232312