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320425000 = 235571831
BaseRepresentation
bin10011000110010…
…100110000101000
3211022221021110121
4103012110300220
51124012100000
651443453024
710640365450
oct2306246050
9738837417
10320425000
11154965055
128b387174
13514cc7bc
14307acd60
151d1e5b1a
hex13194c28

320425000 has 96 divisors (see below), whose sum is σ = 858695040. Its totient is φ = 109800000.

The previous prime is 320424977. The next prime is 320425037. The reversal of 320425000 is 524023.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 174085 + ... + 175915.

It is an arithmetic number, because the mean of its divisors is an integer number (8944740).

Almost surely, 2320425000 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 320425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429347520).

320425000 is an abundant number, since it is smaller than the sum of its proper divisors (538270040).

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

320425000 is an equidigital number, since it uses as much as digits as its factorization.

320425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 320425000 is about 17900.4189895097. The cubic root of 320425000 is about 684.2930529543.

Adding to 320425000 its reverse (524023), we get a palindrome (320949023).

The spelling of 320425000 in words is "three hundred twenty million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 1831 2500 3125 3500 3662 4375 5000 6250 7000 7324 8750 9155 12500 12817 14648 17500 18310 21875 25000 25634 35000 36620 43750 45775 51268 64085 73240 87500 91550 102536 128170 175000 183100 228875 256340 320425 366200 457750 512680 640850 915500 1144375 1281700 1602125 1831000 2288750 2563400 3204250 4577500 5721875 6408500 8010625 9155000 11443750 12817000 16021250 22887500 32042500 40053125 45775000 64085000 80106250 160212500 320425000