Search a number
-
+
266168304 = 243215112241
BaseRepresentation
bin11111101110101…
…10011111110000
3200112211202021100
433313112133300
51021114341204
642224524400
76411251613
oct1767263760
9615752240
10266168304
11127277206
1275180700
13431b3a4c
14274c817a
1518579a39
hexfdd67f0

266168304 has 60 divisors (see below), whose sum is σ = 749895952. Its totient is φ = 88128000.

The previous prime is 266168267. The next prime is 266168311. The reversal of 266168304 is 403861662.

266168304 is a `hidden beast` number, since 2 + 6 + 616 + 8 + 30 + 4 = 666.

266168304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15624 + ... + 27864.

Almost surely, 2266168304 is an apocalyptic number.

266168304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266168304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374947976).

266168304 is an abundant number, since it is smaller than the sum of its proper divisors (483727648).

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

266168304 is a wasteful number, since it uses less digits than its factorization.

266168304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 266168304 is about 16314.6653045657. The cubic root of 266168304 is about 643.2583698049.

The spelling of 266168304 in words is "two hundred sixty-six million, one hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 12241 21744 24482 36723 48964 73446 97928 110169 146892 195856 220338 293784 440676 587568 881352 1762704 1848391 3696782 5545173 7393564 11090346 14787128 16635519 22180692 29574256 33271038 44361384 66542076 88722768 133084152 266168304