Search a number
-
+
266041344 = 2113194353
BaseRepresentation
bin11111101101101…
…11100000000000
3200112121022010010
433312313200000
51021101310334
642222104520
76410212512
oct1766674000
9615538103
10266041344
1112719a888
127511b140
134316b01a
1427493bb2
15185520e9
hexfdb7800

266041344 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 80510976.

The previous prime is 266041271. The next prime is 266041357. The reversal of 266041344 is 443140662.

266041344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019622 + ... + 5019674.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2266041344 is an apocalyptic number.

266041344 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 266041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

266041344 is an abundant number, since it is smaller than the sum of its proper divisors (512336256).

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

266041344 is a wasteful number, since it uses less digits than its factorization.

266041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 266041344 is about 16310.7738626958. The cubic root of 266041344 is about 643.1560772957.

The spelling of 266041344 in words is "two hundred sixty-six million, forty-one thousand, three hundred forty-four".