[go: up one dir, main page]

Search a number
-
+
340131344 = 2472835227
BaseRepresentation
bin10100010001011…
…111111000010000
3212201000110111012
4110101133320100
51144033200334
653430110052
711300032400
oct2421377020
9781013435
10340131344
11164aa4793
1295aab328
135560c367
143325c800
151ecd99ce
hex1445fe10

340131344 has 60 divisors (see below), whose sum is σ = 775981584. Its totient is φ = 143986752.

The previous prime is 340131313. The next prime is 340131371. The reversal of 340131344 is 443131043.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62459 + ... + 67685.

Almost surely, 2340131344 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 340131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387990792).

340131344 is an abundant number, since it is smaller than the sum of its proper divisors (435850240).

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

340131344 is a wasteful number, since it uses less digits than its factorization.

340131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 340131344 is about 18442.6501349454. The cubic root of 340131344 is about 698.0430675966.

Adding to 340131344 its reverse (443131043), we get a palindrome (783262387).

The spelling of 340131344 in words is "three hundred forty million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 332 392 581 664 784 1162 1328 2324 4067 4648 5227 8134 9296 10454 16268 20908 32536 36589 41816 65072 73178 83632 146356 256123 292712 433841 512246 585424 867682 1024492 1735364 2048984 3036887 3470728 4097968 6073774 6941456 12147548 21258209 24295096 42516418 48590192 85032836 170065672 340131344