Search a number
-
+
342420102333 = 3241927967757
BaseRepresentation
bin1001111101110011101…
…01000001110010111101
31012201211211211111112100
410332321311001302331
521102234021233313
6421150003055313
733511326563151
oct4767165016275
91181754744470
10342420102333
11122246248011
1256443971539
13263a03b798a
1412804cc3061
158d9188d173
hex4fb9d41cbd

342420102333 has 12 divisors (see below), whose sum is σ = 506670395868. Its totient is φ = 222712261440.

The previous prime is 342420102329. The next prime is 342420102359. The reversal of 342420102333 is 333201024243.

342420102333 is a `hidden beast` number, since 3 + 4 + 2 + 420 + 1 + 0 + 233 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54047880324 + 288372222009 = 232482^2 + 537003^2 .

It is not a de Polignac number, because 342420102333 - 22 = 342420102329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342420102297 and 342420102306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342420102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463983510 + ... + 463984247.

It is an arithmetic number, because the mean of its divisors is an integer number (42222532989).

Almost surely, 2342420102333 is an apocalyptic number.

It is an amenable number.

342420102333 is a deficient number, since it is larger than the sum of its proper divisors (164250293535).

342420102333 is a wasteful number, since it uses less digits than its factorization.

342420102333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927967804 (or 927967801 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 342420102333 its reverse (333201024243), we get a palindrome (675621126576).

The spelling of 342420102333 in words is "three hundred forty-two billion, four hundred twenty million, one hundred two thousand, three hundred thirty-three".

Divisors: 1 3 9 41 123 369 927967757 2783903271 8351709813 38046678037 114140034111 342420102333