Search a number
-
+
3424131333 = 33722779811
BaseRepresentation
bin1100110000011000…
…0001100100000101
322211122002220011000
43030012001210011
524003034200313
61323435003513
7150565431120
oct31406014405
98748086130
103424131333
1114a7918607
127b6899599
1342752481c
14246a8d3b7
15150922673
hexcc181905

3424131333 has 32 divisors (see below), whose sum is σ = 5823083520. Its totient is φ = 1948002480.

The previous prime is 3424131281. The next prime is 3424131353. The reversal of 3424131333 is 3331314243.

3424131333 is a `hidden beast` number, since 342 + 4 + 1 + 313 + 3 + 3 = 666.

It is not a de Polignac number, because 3424131333 - 220 = 3423082757 is a prime.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 3424131297 and 3424131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424131353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998 + ... + 82808.

It is an arithmetic number, because the mean of its divisors is an integer number (181971360).

Almost surely, 23424131333 is an apocalyptic number.

It is an amenable number.

3424131333 is a deficient number, since it is larger than the sum of its proper divisors (2398952187).

3424131333 is a wasteful number, since it uses less digits than its factorization.

3424131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80054 (or 80048 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3424131333 is about 58516.0775599322. The cubic root of 3424131333 is about 1507.2436791002.

Adding to 3424131333 its reverse (3331314243), we get a palindrome (6755445576).

The spelling of 3424131333 in words is "three billion, four hundred twenty-four million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 227 681 1589 2043 4767 6129 14301 42903 79811 239433 558677 718299 1676031 2154897 5028093 15084279 18117097 54351291 126819679 163053873 380459037 489161619 1141377111 3424131333