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343031112 = 23344871087
BaseRepresentation
bin10100011100100…
…011110101001000
3212220110210020000
4110130203311020
51200303443422
654012203000
711333500464
oct2434436510
9786423200
10343031112
111666a5396
1296a69460
13560b61b8
14337b54a4
15201adcac
hex14723d48

343031112 has 80 divisors (see below), whose sum is σ = 963663360. Its totient is φ = 114003936.

The previous prime is 343031093. The next prime is 343031113. The reversal of 343031112 is 211130343.

343031112 is a `hidden beast` number, since 343 + 0 + 311 + 12 = 666.

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 (343031113) 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 19 ways as a sum of consecutive naturals, for example, 315033 + ... + 316119.

It is an arithmetic number, because the mean of its divisors is an integer number (12045792).

Almost surely, 2343031112 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 343031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481831680).

343031112 is an abundant number, since it is smaller than the sum of its proper divisors (620632248).

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

343031112 is a wasteful number, since it uses less digits than its factorization.

343031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 343031112 is about 18521.0991034550. The cubic root of 343031112 is about 700.0211639860.

Adding to 343031112 its reverse (211130343), we get a palindrome (554161455).

The spelling of 343031112 in words is "three hundred forty-three million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 487 648 974 1087 1461 1948 2174 2922 3261 3896 4348 4383 5844 6522 8696 8766 9783 11688 13044 13149 17532 19566 26088 26298 29349 35064 39132 39447 52596 58698 78264 78894 88047 105192 117396 157788 176094 234792 315576 352188 529369 704376 1058738 1588107 2117476 3176214 4234952 4764321 6352428 9528642 12704856 14292963 19057284 28585926 38114568 42878889 57171852 85757778 114343704 171515556 343031112