Search a number
-
+
543223104 = 26341151457
BaseRepresentation
bin100000011000001…
…110110101000000
31101212011121000020
4200120032311000
52103031114404
6125523053440
716314214554
oct4030166500
91355147006
10543223104
112596a9616
12131b11280
13887099b8
1452207864
1532a54ed9
hex2060ed40

543223104 has 112 divisors (see below), whose sum is σ = 1485326976. Its totient is φ = 175104000.

The previous prime is 543223103. The next prime is 543223123. The reversal of 543223104 is 401322345.

It is a super-3 number, since 3×5432231043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543223103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188444 + ... + 1188900.

It is an arithmetic number, because the mean of its divisors is an integer number (13261848).

Almost surely, 2543223104 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 543223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742663488).

543223104 is an abundant number, since it is smaller than the sum of its proper divisors (942103872).

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

543223104 is a wasteful number, since it uses less digits than its factorization.

543223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 543223104 is about 23307.1470583596. The cubic root of 543223104 is about 815.9422296664.

Adding to 543223104 its reverse (401322345), we get a palindrome (944545449).

The spelling of 543223104 in words is "five hundred forty-three million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 151 164 192 246 302 328 453 457 492 604 656 906 914 984 1208 1312 1371 1812 1828 1968 2416 2624 2742 3624 3656 3936 4832 5484 6191 7248 7312 7872 9664 10968 12382 14496 14624 18573 18737 21936 24764 28992 29248 37146 37474 43872 49528 56211 69007 74292 74948 87744 99056 112422 138014 148584 149896 198112 207021 224844 276028 297168 299792 396224 414042 449688 552056 594336 599584 828084 899376 1104112 1188672 1199168 1656168 1798752 2208224 2829287 3312336 3597504 4416448 5658574 6624672 8487861 11317148 13249344 16975722 22634296 33951444 45268592 67902888 90537184 135805776 181074368 271611552 543223104