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212034312 = 233272989163
BaseRepresentation
bin11001010001101…
…10001100001000
3112202222110101200
430220312030020
5413240044222
633012344200
75153155560
oct1450661410
9482873350
10212034312
11a9762576
125b015060
1334c0bab9
1420235da0
1513934eac
hexca36308

212034312 has 192 divisors, whose sum is σ = 690768000. Its totient is φ = 57480192.

The previous prime is 212034311. The next prime is 212034323. The reversal of 212034312 is 213430212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212034311) 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 47 ways as a sum of consecutive naturals, for example, 1300743 + ... + 1300905.

It is an arithmetic number, because the mean of its divisors is an integer number (3597750).

Almost surely, 2212034312 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 212034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345384000).

212034312 is an abundant number, since it is smaller than the sum of its proper divisors (478733688).

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

212034312 is a wasteful number, since it uses less digits than its factorization.

212034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212034312 is about 14561.3980098066. The cubic root of 212034312 is about 596.3053627904.

Adding to 212034312 its reverse (213430212), we get a palindrome (425464524).

The spelling of 212034312 in words is "two hundred twelve million, thirty-four thousand, three hundred twelve".