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329925 = 3525383
BaseRepresentation
bin1010000100011000101
3121202120110
41100203011
541024200
611023233
72542611
oct1204305
9552513
10329925
11205972
1213ab19
13b722b
1488341
1567b50
hex508c5

329925 has 24 divisors (see below), whose sum is σ = 562464. Its totient is φ = 170560.

The previous prime is 329899. The next prime is 329941. The reversal of 329925 is 529923.

It is not a de Polignac number, because 329925 - 210 = 328901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329892 and 329901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329925.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934 + ... + 4016.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2329925 is an apocalyptic number.

It is an amenable number.

329925 is a deficient number, since it is larger than the sum of its proper divisors (232539).

329925 is a wasteful number, since it uses less digits than its factorization.

329925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 329925 is about 574.3909818234. The cubic root of 329925 is about 69.0989967343.

The spelling of 329925 in words is "three hundred twenty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 83 159 249 265 415 795 1245 1325 2075 3975 4399 6225 13197 21995 65985 109975 329925