Search a number
-
+
342275522688 = 273211215672
BaseRepresentation
bin1001111101100010011…
…01100000000010000000
31012201110202210002112200
410332301031200002000
521101440013211223
6421123400153200
733504622640151
oct4766115400200
91181422702480
10342275522688
11122181678200
1256403468800
1326379465ca8
14127cda09928
158d83d2ea43
hex4fb1360080

342275522688 has 216 divisors, whose sum is σ = 1083304146015. Its totient is φ = 103653665280.

The previous prime is 342275522669. The next prime is 342275522689. The reversal of 342275522688 is 886225572243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

342275522688 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 7 + 552 + 2 + 6 + 88 = 666.

342275522688 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 171137761344 + 171137761344 = 413688^2 + 413688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=413688.

It is a super-3 number, since 3×3422755226883 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342275522689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218426481 + ... + 218428047.

Almost surely, 2342275522688 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 342275522688

342275522688 is an abundant number, since it is smaller than the sum of its proper divisors (741028623327).

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

342275522688 is an equidigital number, since it uses as much as digits as its factorization.

342275522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1583 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

It can be divided in two parts, 3422755 and 22688, that added together give a palindrome (3445443).

The spelling of 342275522688 in words is "three hundred forty-two billion, two hundred seventy-five million, five hundred twenty-two thousand, six hundred eighty-eight".