Search a number
-
+
34365433245 = 35112137331987
BaseRepresentation
bin100000000000010101…
…101110010110011101
310021200222121212222220
4200000111232112131
51030340022330440
623442014255553
72324415235323
oct400025562635
9107628555886
1034365433245
1113635433700
1267b0ab75b9
1333189145b0
141940125d13
15d61ed58d0
hex80056e59d

34365433245 has 96 divisors (see below), whose sum is σ = 65208372096. Its totient is φ = 15351621120.

The previous prime is 34365433243. The next prime is 34365433303. The reversal of 34365433245 is 54233456343.

It is not a de Polignac number, because 34365433245 - 21 = 34365433243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34365433197 and 34365433206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365433243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17294142 + ... + 17296128.

It is an arithmetic number, because the mean of its divisors is an integer number (679253876).

Almost surely, 234365433245 is an apocalyptic number.

It is an amenable number.

34365433245 is a deficient number, since it is larger than the sum of its proper divisors (30842938851).

34365433245 is a wasteful number, since it uses less digits than its factorization.

34365433245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2752 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 42.

Adding to 34365433245 its reverse (54233456343), we get a palindrome (88598889588).

The spelling of 34365433245 in words is "thirty-four billion, three hundred sixty-five million, four hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 363 429 605 715 733 1573 1815 1987 2145 2199 3665 4719 5961 7865 8063 9529 9935 10995 21857 23595 24189 25831 28587 29805 40315 47645 65571 77493 88693 104819 109285 120945 129155 142935 240427 266079 284141 314457 327855 387465 443465 524095 721281 852423 1153009 1202135 1330395 1420705 1456471 1572285 3125551 3459027 3606405 4262115 4369413 5765045 7282355 9376653 15627755 16021181 17295135 18934123 21847065 46883265 48063543 56802369 80105905 94670615 176232991 208275353 240317715 284011845 528698973 624826059 881164955 1041376765 2291028883 2643494865 3124130295 6873086649 11455144415 34365433245