Search a number
-
+
13323330 = 2325374001
BaseRepresentation
bin110010110100…
…110001000010
3221001220011200
4302310301002
511402321310
61153322030
7221150346
oct62646102
927056150
1013323330
117580019
124566316
1329b6437
141aab626
1512829c0
hexcb4c42

13323330 has 48 divisors (see below), whose sum is σ = 35585784. Its totient is φ = 3456000.

The previous prime is 13323287. The next prime is 13323337. The reversal of 13323330 is 3332331.

13323330 is a `hidden beast` number, since 1 + 332 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9941409 + 3381921 = 3153^2 + 1839^2 .

It is a super-2 number, since 2×133233302 = 355022244577800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13323337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 5330.

Almost surely, 213323330 is an apocalyptic number.

13323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792892).

13323330 is an abundant number, since it is smaller than the sum of its proper divisors (22262454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13323330 is a wasteful number, since it uses less digits than its factorization.

13323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 13323330 is about 3650.1136968593. The cubic root of 13323330 is about 237.0669041473.

Adding to 13323330 its reverse (3332331), we get a palindrome (16655661).

Subtracting from 13323330 its reverse (3332331), we obtain a palindrome (9990999).

The spelling of 13323330 in words is "thirteen million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4001 8002 12003 20005 24006 36009 40010 60015 72018 120030 148037 180045 296074 360090 444111 740185 888222 1332333 1480370 2220555 2664666 4441110 6661665 13323330