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329250520 = 235231672143
BaseRepresentation
bin10011100111111…
…111011011011000
3211221112122210201
4103213333123120
51133242004040
652400551544
711105404024
oct2347773330
9757478721
10329250520
11159942875
12923225b4
135329c8c1
1431a29384
151dd8aa9a
hex139ff6d8

329250520 has 64 divisors (see below), whose sum is σ = 778014720. Its totient is φ = 125161344.

The previous prime is 329250499. The next prime is 329250539. The reversal of 329250520 is 25052923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152569 + ... + 154711.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2329250520 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 329250520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389007360).

329250520 is an abundant number, since it is smaller than the sum of its proper divisors (448764200).

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

329250520 is a wasteful number, since it uses less digits than its factorization.

329250520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 329250520 is about 18145.2616404394. The cubic root of 329250520 is about 690.5187725070.

The spelling of 329250520 in words is "three hundred twenty-nine million, two hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 167 184 230 334 460 668 835 920 1336 1670 2143 3340 3841 4286 6680 7682 8572 10715 15364 17144 19205 21430 30728 38410 42860 49289 76820 85720 98578 153640 197156 246445 357881 394312 492890 715762 985780 1431524 1789405 1971560 2863048 3578810 7157620 8231263 14315240 16462526 32925052 41156315 65850104 82312630 164625260 329250520