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342144220 = 225119716033
BaseRepresentation
bin10100011001001…
…011010011011100
3212211210201122011
4110121023103130
51200042103340
653541201004
711323115005
oct2431132334
9784721564
10342144220
1116614a020
1296700164
1355b65602
14336241ac
15200860ea
hex1464b4dc

342144220 has 48 divisors (see below), whose sum is σ = 791951328. Its totient is φ = 123125760.

The previous prime is 342144199. The next prime is 342144239. The reversal of 342144220 is 22441243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 342144191 and 342144200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 29356.

It is an arithmetic number, because the mean of its divisors is an integer number (16498986).

Almost surely, 2342144220 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 342144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395975664).

342144220 is an abundant number, since it is smaller than the sum of its proper divisors (449807108).

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

342144220 is a wasteful number, since it uses less digits than its factorization.

342144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16150 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 342144220 is about 18497.1408601438. The cubic root of 342144220 is about 699.4173518995.

Adding to 342144220 its reverse (22441243), we get a palindrome (364585463).

The spelling of 342144220 in words is "three hundred forty-two million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 16033 21340 32066 64132 80165 160330 176363 320660 352726 705452 881815 1555201 1763630 3110402 3527260 6220804 7776005 15552010 17107211 31104020 34214422 68428844 85536055 171072110 342144220