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328075000 = 2355111193
BaseRepresentation
bin10011100011100…
…000011011111000
3211212022221021221
4103203200123320
51132441400000
652315441424
711062406611
oct2343403370
9755287257
10328075000
1115920a670
1291a56274
1352c7a826
1431800c08
151dc0761a
hex138e06f8

328075000 has 96 divisors (see below), whose sum is σ = 839477520. Its totient is φ = 119200000.

The previous prime is 328074983. The next prime is 328075001. The reversal of 328075000 is 570823.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328075001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274404 + ... + 275596.

Almost surely, 2328075000 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 328075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419738760).

328075000 is an abundant number, since it is smaller than the sum of its proper divisors (511402520).

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

328075000 is a wasteful number, since it uses less digits than its factorization.

328075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 328075000 is about 18112.8407490377. The cubic root of 328075000 is about 689.6960083578.

The spelling of 328075000 in words is "three hundred twenty-eight million, seventy-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1193 1250 1375 2200 2386 2500 2750 3125 4772 5000 5500 5965 6250 6875 9544 11000 11930 12500 13123 13750 23860 25000 26246 27500 29825 34375 47720 52492 55000 59650 65615 68750 104984 119300 131230 137500 149125 238600 262460 275000 298250 328075 524920 596500 656150 745625 1193000 1312300 1491250 1640375 2624600 2982500 3280750 3728125 5965000 6561500 7456250 8201875 13123000 14912500 16403750 29825000 32807500 41009375 65615000 82018750 164037500 328075000