Search a number
-
+
3430243120 = 24542878039
BaseRepresentation
bin1100110001110101…
…0101101100110000
322212001121101221111
43030131111230300
524011120234440
61324214003104
7151001404543
oct31435255460
98761541844
103430243120
111500312477
127b8946494
13428884675
1424780085a
1515122d4ea
hexcc755b30

3430243120 has 20 divisors (see below), whose sum is σ = 7975315440. Its totient is φ = 1372097216.

The previous prime is 3430243097. The next prime is 3430243133. The reversal of 3430243120 is 213420343.

It is a happy number.

3430243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3430243091 and 3430243100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21438940 + ... + 21439099.

It is an arithmetic number, because the mean of its divisors is an integer number (398765772).

Almost surely, 23430243120 is an apocalyptic number.

It is an amenable number.

3430243120 is an abundant number, since it is smaller than the sum of its proper divisors (4545072320).

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

3430243120 is a wasteful number, since it uses less digits than its factorization.

3430243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42878052 (or 42878046 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3430243120 is about 58568.2774204603. The cubic root of 3430243120 is about 1508.1399138922.

Adding to 3430243120 its reverse (213420343), we get a palindrome (3643663463).

The spelling of 3430243120 in words is "three billion, four hundred thirty million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 42878039 85756078 171512156 214390195 343024312 428780390 686048624 857560780 1715121560 3430243120