Search a number
-
+
264368 = 24133141
BaseRepresentation
bin1000000100010110000
3111102122102
41000202300
531424433
65355532
72150516
oct1004260
9442572
10264368
11170695
12108ba8
1393440
146c4b6
15534e8
hex408b0

264368 has 40 divisors (see below), whose sum is σ = 583296. Its totient is φ = 115200.

The previous prime is 264359. The next prime is 264371. The reversal of 264368 is 863462.

It is a self number, because there is not a number n which added to its sum of digits gives 264368.

It is an unprimeable number.

264368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 6428 + ... + 6468.

2264368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

264368 is an abundant number, since it is smaller than the sum of its proper divisors (318928).

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

264368 is a wasteful number, since it uses less digits than its factorization.

264368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 264368 is about 514.1672879521. The cubic root of 264368 is about 64.1804801505.

The spelling of 264368 in words is "two hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 41 52 62 82 104 124 164 208 248 328 403 496 533 656 806 1066 1271 1612 2132 2542 3224 4264 5084 6448 8528 10168 16523 20336 33046 66092 132184 264368