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344120112 = 243272314843
BaseRepresentation
bin10100100000101…
…101101100110000
3212222112010001100
4110200231230300
51201043320422
654051404400
711345654430
oct2440555460
9788463040
10344120112
11167279596
12972b3700
13563a7a8b
14339ba2c0
15203267ac
hex1482db30

344120112 has 120 divisors (see below), whose sum is σ = 1148569344. Its totient is φ = 94038912.

The previous prime is 344120083. The next prime is 344120123. The reversal of 344120112 is 211021443.

344120112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15763 + ... + 30605.

Almost surely, 2344120112 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 344120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574284672).

344120112 is an abundant number, since it is smaller than the sum of its proper divisors (804449232).

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

344120112 is a wasteful number, since it uses less digits than its factorization.

344120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14887 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 344120112 is about 18550.4747109070. The cubic root of 344120112 is about 700.7611530040.

Adding to 344120112 its reverse (211021443), we get a palindrome (555141555).

The spelling of 344120112 in words is "three hundred forty-four million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 14843 23184 29686 44529 59372 89058 103901 118744 133587 178116 207802 237488 267174 311703 341389 356232 415604 534348 623406 682778 712464 831208 935109 1024167 1068696 1246812 1365556 1662416 1870218 2048334 2137392 2389723 2493624 2731112 3072501 3740436 4096668 4779446 4987248 5462224 6145002 7169169 7480872 8193336 9558892 12290004 14338338 14961744 16386672 19117784 21507507 24580008 28676676 38235568 43015014 49160016 57353352 86030028 114706704 172060056 344120112