Search a number
-
+
264309331 = 11138392203
BaseRepresentation
bin11111100000100…
…00101001010011
3200102100022020111
433300100221103
51020130344311
642121022151
76356410066
oct1760205123
9612308214
10264309331
11126217570
1274624957
13429b2870
14271628dd
151830dd21
hexfc10a53

264309331 has 16 divisors (see below), whose sum is σ = 311028480. Its totient is φ = 221433120.

The previous prime is 264309313. The next prime is 264309359. The reversal of 264309331 is 133903462.

It is a cyclic number.

It is not a de Polignac number, because 264309331 - 215 = 264276563 is a prime.

It is a super-2 number, since 2×2643093312 = 139718844907335122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264309293 and 264309302.

It is not an unprimeable number, because it can be changed into a prime (264300331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118876 + ... + 121078.

It is an arithmetic number, because the mean of its divisors is an integer number (19439280).

Almost surely, 2264309331 is an apocalyptic number.

264309331 is a deficient number, since it is larger than the sum of its proper divisors (46719149).

264309331 is a wasteful number, since it uses less digits than its factorization.

264309331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 264309331 is about 16257.5930260294. The cubic root of 264309331 is about 641.7573211847.

The spelling of 264309331 in words is "two hundred sixty-four million, three hundred nine thousand, three hundred thirty-one".

Divisors: 1 11 13 143 839 2203 9229 10907 24233 28639 119977 315029 1848317 20331487 24028121 264309331