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327201006 = 2311171931511
BaseRepresentation
bin10011100000001…
…011000011101110
3211210200112101210
4103200023003232
51132230413011
652245015250
711052106536
oct2340130356
9753615353
10327201006
11158772a60
12916b4526
1352a32a82
14316544c6
151dad36a6
hex1380b0ee

327201006 has 64 divisors (see below), whose sum is σ = 760306176. Its totient is φ = 92774400.

The previous prime is 327200983. The next prime is 327201029. The reversal of 327201006 is 600102723.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (327200983) and next prime (327201029).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215791 + ... + 217301.

It is an arithmetic number, because the mean of its divisors is an integer number (11879784).

Almost surely, 2327201006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327201006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380153088).

327201006 is an abundant number, since it is smaller than the sum of its proper divisors (433105170).

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

327201006 is a wasteful number, since it uses less digits than its factorization.

327201006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 327201006 is about 18088.6982947917. The cubic root of 327201006 is about 689.0830120960.

Adding to 327201006 its reverse (600102723), we get a palindrome (927303729).

The spelling of 327201006 in words is "three hundred twenty-seven million, two hundred one thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 193 374 386 561 579 1122 1158 1511 2123 3022 3281 4246 4533 6369 6562 9066 9843 12738 16621 19686 25687 33242 36091 49863 51374 72182 77061 99726 108273 154122 216546 282557 291623 565114 583246 847671 874869 1695342 1749738 3207853 4957591 6415706 9623559 9915182 14872773 19247118 29745546 54533501 109067002 163600503 327201006