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328033125 = 335472777
BaseRepresentation
bin10011100011010…
…110001101100101
3211212020210212000
4103203112031211
51132434030000
652314515513
711062143540
oct2343261545
9755223760
10328033125
11159191162
1291a35b99
1352c64754
14317cd857
151dbea000
hex138d6365

328033125 has 80 divisors (see below), whose sum is σ = 694277760. Its totient is φ = 149904000.

The previous prime is 328033109. The next prime is 328033129. The reversal of 328033125 is 521330823.

328033125 is a `hidden beast` number, since 328 + 0 + 331 + 2 + 5 = 666.

It is not a de Polignac number, because 328033125 - 24 = 328033109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328033129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116737 + ... + 119513.

It is an arithmetic number, because the mean of its divisors is an integer number (8678472).

Almost surely, 2328033125 is an apocalyptic number.

328033125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328033125 is an abundant number, since it is smaller than the sum of its proper divisors (366244635).

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

328033125 is an equidigital number, since it uses as much as digits as its factorization.

328033125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 328033125 is about 18111.6847642620. The cubic root of 328033125 is about 689.6666631886. Note that the first 5 decimals are identical.

Adding to 328033125 its reverse (521330823), we get a palindrome (849363948).

The spelling of 328033125 in words is "three hundred twenty-eight million, thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 625 675 875 945 1125 1575 1875 2625 2777 3375 4375 4725 5625 7875 8331 13125 13885 16875 19439 23625 24993 39375 41655 58317 69425 74979 97195 118125 124965 174951 208275 291585 347125 374895 485975 524853 624825 874755 1041375 1457925 1735625 1874475 2429875 2624265 3124125 4373775 5206875 7289625 9372375 12149375 13121325 15620625 21868875 36448125 46861875 65606625 109344375 328033125