Search a number
-
+
453320000 = 265471619
BaseRepresentation
bin11011000001010…
…001110101000000
31011121000001010122
4123001101311000
51412022220000
6112552115412
714143104440
oct3301216500
91147001118
10453320000
11212984031
12107995b68
1372bbcbb3
14442c4120
1529be7085
hex1b051d40

453320000 has 140 divisors (see below), whose sum is σ = 1285463520. Its totient is φ = 155328000.

The previous prime is 453319963. The next prime is 453320003. The reversal of 453320000 is 23354.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279191 + ... + 280809.

Almost surely, 2453320000 is an apocalyptic number.

453320000 is a gapful number since it is divisible by the number (40) 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 453320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642731760).

453320000 is an abundant number, since it is smaller than the sum of its proper divisors (832143520).

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

453320000 is an equidigital number, since it uses as much as digits as its factorization.

453320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 453320000 is about 21291.3127824472. The cubic root of 453320000 is about 768.1893702580.

Adding to 453320000 its reverse (23354), we get a palindrome (453343354).

The spelling of 453320000 in words is "four hundred fifty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1619 1750 2000 2240 2500 2800 3238 3500 4000 4375 5000 5600 6476 7000 8000 8095 8750 10000 11200 11333 12952 14000 16190 17500 20000 22666 25904 28000 32380 35000 40000 40475 45332 51808 56000 56665 64760 70000 80950 90664 103616 113330 129520 140000 161900 181328 202375 226660 259040 280000 283325 323800 362656 404750 453320 518080 566650 647600 725312 809500 906640 1011875 1133300 1295200 1416625 1619000 1813280 2023750 2266600 2590400 2833250 3238000 3626560 4047500 4533200 5666500 6476000 7083125 8095000 9066400 11333000 12952000 14166250 16190000 18132800 22666000 28332500 32380000 45332000 56665000 64760000 90664000 113330000 226660000 453320000