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343228032 = 27327311373
BaseRepresentation
bin10100011101010…
…011111010000000
3212220211210100100
4110131103322000
51200331244112
654020322400
711335250550
oct2435237200
9786753310
10343228032
1116681a334
1296b43400
1356154a14
1433827160
15201ec2dc
hex14753e80

343228032 has 192 divisors, whose sum is σ = 1166031360. Its totient is φ = 94832640.

The previous prime is 343228031. The next prime is 343228037. The reversal of 343228032 is 230822343.

343228032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 343227987 and 343228005.

It is not an unprimeable number, because it can be changed into a prime (343228031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249298 + ... + 250670.

It is an arithmetic number, because the mean of its divisors is an integer number (6073080).

Almost surely, 2343228032 is an apocalyptic number.

343228032 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 343228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583015680).

343228032 is an abundant number, since it is smaller than the sum of its proper divisors (822803328).

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

343228032 is a wasteful number, since it uses less digits than its factorization.

343228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 343228032 is about 18526.4144399287. The cubic root of 343228032 is about 700.1550894459.

The spelling of 343228032 in words is "three hundred forty-three million, two hundred twenty-eight thousand, thirty-two".