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343021312 = 2810313009
BaseRepresentation
bin10100011100100…
…001011100000000
3212220110021210001
4110130201130000
51200303140222
654012045344
711333430064
oct2434413400
9786407701
10343021312
11166698a97
1296a63854
13560b18ba
14337b1aa4
15201aae27
hex14721700

343021312 has 36 divisors (see below), whose sum is σ = 691403440. Its totient is φ = 169832448.

The previous prime is 343021303. The next prime is 343021313. The reversal of 343021312 is 213120343.

343021312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 343021312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343021313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19864 + ... + 32872.

Almost surely, 2343021312 is an apocalyptic number.

343021312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345701720).

343021312 is an abundant number, since it is smaller than the sum of its proper divisors (348382128).

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

343021312 is a wasteful number, since it uses less digits than its factorization.

343021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 13114 counting only the distinct ones).

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

The square root of 343021312 is about 18520.8345384327. The cubic root of 343021312 is about 700.0144976589.

Adding to 343021312 its reverse (213120343), we get a palindrome (556141655).

It can be divided in two parts, 3430 and 21312, that added together give a palindrome (24742).

The spelling of 343021312 in words is "three hundred forty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1648 3296 6592 13009 13184 26018 26368 52036 104072 208144 416288 832576 1339927 1665152 2679854 3330304 5359708 10719416 21438832 42877664 85755328 171510656 343021312