Search a number
-
+
330033 = 31173137
BaseRepresentation
bin1010000100100110001
3121202201110
41100210301
541030113
611023533
72543124
oct1204461
9552643
10330033
11205a60
1213aba9
13b72b2
14883bb
1567bc3
hex50931

330033 has 16 divisors (see below), whose sum is σ = 490176. Its totient is φ = 195840.

The previous prime is 330019. The next prime is 330037.

330033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330033 - 24 = 330017 is a prime.

It is a Curzon number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (330037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (30636).

2330033 is an apocalyptic number.

330033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330033 is a deficient number, since it is larger than the sum of its proper divisors (160143).

330033 is a wasteful number, since it uses less digits than its factorization.

330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 81, while the sum is 12.

The square root of 330033 is about 574.4849867490. The cubic root of 330033 is about 69.1065356977.

It can be divided in two parts, 3300 and 33, that multiplied together give a square (108900 = 3302).

The spelling of 330033 in words is "three hundred thirty thousand, thirty-three".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 4521 10001 30003 110011 330033