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328980000 = 253545483
BaseRepresentation
bin10011100110111…
…101011000100000
3211221000220201110
4103212331120200
51133204330000
652351103320
711103166236
oct2346753040
9757026643
10328980000
111597785a8
1292211b40
135320672b
1431998956
151dd35850
hex139bd620

328980000 has 120 divisors (see below), whose sum is σ = 1079317008. Its totient is φ = 87712000.

The previous prime is 328979969. The next prime is 328980007. The reversal of 328980000 is 89823.

328980000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 328980000.

It is not an unprimeable number, because it can be changed into a prime (328980007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57259 + ... + 62741.

Almost surely, 2328980000 is an apocalyptic number.

328980000 is a gapful number since it is divisible by the number (30) 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 328980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539658504).

328980000 is an abundant number, since it is smaller than the sum of its proper divisors (750337008).

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

328980000 is an equidigital number, since it uses as much as digits as its factorization.

328980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 328980000 is about 18137.8058209917. The cubic root of 328980000 is about 690.3296051812.

The spelling of 328980000 in words is "three hundred twenty-eight million, nine hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 5483 6000 7500 10000 10966 12000 15000 16449 20000 21932 27415 30000 32898 43864 54830 60000 65796 82245 87728 109660 131592 137075 164490 175456 219320 263184 274150 328980 411225 438640 526368 548300 657960 685375 822450 877280 1096600 1315920 1370750 1644900 2056125 2193200 2631840 2741500 3289800 3426875 4112250 4386400 5483000 6579600 6853750 8224500 10280625 10966000 13159200 13707500 16449000 20561250 21932000 27415000 32898000 41122500 54830000 65796000 82245000 109660000 164490000 328980000