Search a number
-
+
344104402311 = 3389279151307
BaseRepresentation
bin1010000000111100011…
…10000111110110000111
31012220012020010210202000
411000132032013312013
521114211211333221
6422025051320343
733601141105545
oct5003616076607
91186166123660
10344104402311
11122a2aa6756a
1256833a500b3
13265ab328097
141292487cd95
158e3e68ee26
hex501e387d87

344104402311 has 32 divisors (see below), whose sum is σ = 515706969600. Its totient is φ = 226739684160.

The previous prime is 344104402309. The next prime is 344104402319. The reversal of 344104402311 is 113204401443.

344104402311 is a `hidden beast` number, since 344 + 1 + 0 + 4 + 4 + 0 + 2 + 311 = 666.

It is not a de Polignac number, because 344104402311 - 21 = 344104402309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344104402319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6681120 + ... + 6732426.

It is an arithmetic number, because the mean of its divisors is an integer number (16115842800).

Almost surely, 2344104402311 is an apocalyptic number.

344104402311 is a deficient number, since it is larger than the sum of its proper divisors (171602567289).

344104402311 is a wasteful number, since it uses less digits than its factorization.

344104402311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54196 (or 54190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344104402311 its reverse (113204401443), we get a palindrome (457308803754).

The spelling of 344104402311 in words is "three hundred forty-four billion, one hundred four million, four hundred two thousand, three hundred eleven".

Divisors: 1 3 9 27 89 267 801 2403 2791 8373 25119 51307 75357 153921 248399 461763 745197 1385289 2235591 4566323 6706773 13698969 41096907 123290721 143197837 429593511 1288780533 3866341599 12744607493 38233822479 114701467437 344104402311