[go: up one dir, main page]

Search a number
-
+
344119140 = 223259719709
BaseRepresentation
bin10100100000101…
…101011101100100
3212222112001201100
4110200231131210
51201043303030
654051400100
711345651541
oct2440553544
9788461640
10344119140
11167278892
12972b3030
13563a74c1
14339b9bc8
1520326360
hex1482d764

344119140 has 72 divisors (see below), whose sum is σ = 1054642680. Its totient is φ = 90814464.

The previous prime is 344119001. The next prime is 344119141. The reversal of 344119140 is 41911443.

It can be written as a sum of positive squares in 4 ways, for example, as 30404196 + 313714944 = 5514^2 + 17712^2 .

It is not an unprimeable number, because it can be changed into a prime (344119141) 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, 7606 + ... + 27314.

It is an arithmetic number, because the mean of its divisors is an integer number (14647815).

Almost surely, 2344119140 is an apocalyptic number.

344119140 is a gapful number since it is divisible by the number (30) 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 344119140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527321340).

344119140 is an abundant number, since it is smaller than the sum of its proper divisors (710523540).

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

344119140 is a wasteful number, since it uses less digits than its factorization.

344119140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821 (or 19816 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 344119140 is about 18550.4485120980. The cubic root of 344119140 is about 700.7604932145.

The spelling of 344119140 in words is "three hundred forty-four million, one hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 19709 39418 59127 78836 98545 118254 177381 197090 236508 295635 354762 394180 591270 709524 886905 1182540 1773810 1911773 3547620 3823546 5735319 7647092 9558865 11470638 17205957 19117730 22941276 28676595 34411914 38235460 57353190 68823828 86029785 114706380 172059570 344119140