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320500000 = 2556641
BaseRepresentation
bin10011000110100…
…111000100100000
3211100002002100101
4103012213010200
51124022000000
651445232144
710641130222
oct2306470440
9740062311
10320500000
11154a06437
128b402654
1351527992
14307cc412
151d20ce6a
hex131a7120

320500000 has 84 divisors (see below), whose sum is σ = 789950826. Its totient is φ = 128000000.

The previous prime is 320499983. The next prime is 320500007. The reversal of 320500000 is 5023.

It can be written as a sum of positive squares in 7 ways, for example, as 97535376 + 222964624 = 9876^2 + 14932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 320500000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320500007) 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 13 ways as a sum of consecutive naturals, for example, 499680 + ... + 500320.

Almost surely, 2320500000 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 320500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394975413).

320500000 is an abundant number, since it is smaller than the sum of its proper divisors (469450826).

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

320500000 is an frugal number, since it uses more digits than its factorization.

320500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 320500000 is about 17902.5137899682. The cubic root of 320500000 is about 684.3464382762.

Adding to 320500000 its reverse (5023), we get a palindrome (320505023).

The spelling of 320500000 in words is "three hundred twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 641 800 1000 1250 1282 2000 2500 2564 3125 3205 4000 5000 5128 6250 6410 10000 10256 12500 12820 15625 16025 20000 20512 25000 25640 31250 32050 50000 51280 62500 64100 80125 100000 102560 125000 128200 160250 250000 256400 320500 400625 500000 512800 641000 801250 1282000 1602500 2003125 2564000 3205000 4006250 6410000 8012500 10015625 12820000 16025000 20031250 32050000 40062500 64100000 80125000 160250000 320500000