Search a number
-
+
29358329 = 71113139211
BaseRepresentation
bin110111111111…
…1100011111001
32001020120001112
41233333203321
530003431304
62525130105
7504353540
oct157774371
961216045
1029358329
1115632390
1299b9935
13610bbc0
143c83157
15289db6e
hex1bff8f9

29358329 has 32 divisors (see below), whose sum is σ = 39889920. Its totient is φ = 20865600.

The previous prime is 29358323. The next prime is 29358331. The reversal of 29358329 is 92385392.

It is not a de Polignac number, because 29358329 - 216 = 29292793 is a prime.

It is a super-3 number, since 3×293583293 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29358323) 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, 139034 + ... + 139244.

It is an arithmetic number, because the mean of its divisors is an integer number (1246560).

Almost surely, 229358329 is an apocalyptic number.

It is an amenable number.

29358329 is a deficient number, since it is larger than the sum of its proper divisors (10531591).

29358329 is a wasteful number, since it uses less digits than its factorization.

29358329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its digits is 116640, while the sum is 41.

The square root of 29358329 is about 5418.3326771249. The cubic root of 29358329 is about 308.4919087564.

The spelling of 29358329 in words is "twenty-nine million, three hundred fifty-eight thousand, three hundred twenty-nine".

Divisors: 1 7 11 13 77 91 139 143 211 973 1001 1477 1529 1807 2321 2743 10703 12649 16247 19201 19877 29329 30173 139139 205303 211211 322619 381277 2258333 2668939 4194047 29358329