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264330 = 23351189
BaseRepresentation
bin1000000100010001010
3111102121000
41000202022
531424310
65355430
72150433
oct1004212
9442530
10264330
11170660
12108b76
1393411
146c48a
15534c0
hex4088a

264330 has 64 divisors (see below), whose sum is σ = 777600. Its totient is φ = 63360.

The previous prime is 264323. The next prime is 264331. The reversal of 264330 is 33462.

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

It is a d-powerful number, because it can be written as 29 + 63 + 36 + 49 + 36 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2926 + ... + 3014.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2264330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

264330 is an abundant number, since it is smaller than the sum of its proper divisors (513270).

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

264330 is a wasteful number, since it uses less digits than its factorization.

264330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 264330 is about 514.1303336704. The cubic root of 264330 is about 64.1774049231.

Adding to 264330 its reverse (33462), we get a palindrome (297792).

It can be divided in two parts, 26 and 4330, that added together give a square (4356 = 662).

The spelling of 264330 in words is "two hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 89 90 99 110 135 165 178 198 267 270 297 330 445 495 534 594 801 890 979 990 1335 1485 1602 1958 2403 2670 2937 2970 4005 4806 4895 5874 8010 8811 9790 12015 14685 17622 24030 26433 29370 44055 52866 88110 132165 264330