Search a number
-
+
329168399 = 7172162713
BaseRepresentation
bin10011100111101…
…011011000001111
3211221101111011012
4103213223120033
51133231342044
652355115435
711104612430
oct2347533017
9757344135
10329168399
111598970aa
12922a2b7b
1353271401
1431a07487
151dd7159e
hex139eb60f

329168399 has 12 divisors (see below), whose sum is σ = 399625584. Its totient is φ = 265545984.

The previous prime is 329168381. The next prime is 329168419. The reversal of 329168399 is 993861923.

It is not a de Polignac number, because 329168399 - 216 = 329102863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329168699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79334 + ... + 83379.

It is an arithmetic number, because the mean of its divisors is an integer number (33302132).

Almost surely, 2329168399 is an apocalyptic number.

329168399 is a deficient number, since it is larger than the sum of its proper divisors (70457185).

329168399 is a wasteful number, since it uses less digits than its factorization.

329168399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162754 (or 162737 counting only the distinct ones).

The product of its digits is 629856, while the sum is 50.

The square root of 329168399 is about 18142.9986220580. The cubic root of 329168399 is about 690.4613584673.

Adding to 329168399 its sum of digits (50), we get a square (329168449 = 181432).

The spelling of 329168399 in words is "three hundred twenty-nine million, one hundred sixty-eight thousand, three hundred ninety-nine".

Divisors: 1 7 17 119 289 2023 162713 1138991 2766121 19362847 47024057 329168399