Search a number
-
+
534283344 = 243371719547
BaseRepresentation
bin11111110110001…
…000010001010000
31101020100101222000
4133312020101100
52043234031334
6125003314000
716145222250
oct3766102120
91336311860
10534283344
11254652a91
1212ab1b900
13868c98ba
1450d5b960
1531d8b299
hex1fd88450

534283344 has 320 divisors, whose sum is σ = 1957017600. Its totient is φ = 135862272.

The previous prime is 534283333. The next prime is 534283349. The reversal of 534283344 is 443382435.

534283344 is a `hidden beast` number, since 5 + 34 + 283 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 534283299 and 534283308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534283349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976479 + ... + 977025.

It is an arithmetic number, because the mean of its divisors is an integer number (6115680).

Almost surely, 2534283344 is an apocalyptic number.

534283344 is a gapful number since it is divisible by the number (54) 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 534283344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978508800).

534283344 is an abundant number, since it is smaller than the sum of its proper divisors (1422734256).

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

534283344 is a wasteful number, since it uses less digits than its factorization.

534283344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 534283344 is about 23114.5699505745. The cubic root of 534283344 is about 811.4414935218.

Subtracting from 534283344 its reverse (443382435), we obtain a palindrome (90900909).

The spelling of 534283344 in words is "five hundred thirty-four million, two hundred eighty-three thousand, three hundred forty-four".