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327897414 = 232132276173
BaseRepresentation
bin10011100010110…
…101000101000110
3211211222220200200
4103202311011012
51132420204124
652311551330
711061040065
oct2342650506
9754886620
10327897414
111590a91a9
129198b546
1352c17a50
14317961dc
151dbbebc9
hex138b5146

327897414 has 48 divisors (see below), whose sum is σ = 768588912. Its totient is φ = 100430784.

The previous prime is 327897413. The next prime is 327897419. The reversal of 327897414 is 414798723.

It is a self number, because there is not a number n which added to its sum of digits gives 327897414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327897413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50032 + ... + 56204.

It is an arithmetic number, because the mean of its divisors is an integer number (16012269).

Almost surely, 2327897414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327897414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384294456).

327897414 is an abundant number, since it is smaller than the sum of its proper divisors (440691498).

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

327897414 is a wasteful number, since it uses less digits than its factorization.

327897414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6418 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 327897414 is about 18107.9378726568. The cubic root of 327897414 is about 689.5715424467.

The spelling of 327897414 in words is "three hundred twenty-seven million, eight hundred ninety-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 681 1362 2043 2951 4086 5902 6173 8853 12346 17706 18519 26559 37038 53118 55557 80249 111114 160498 240747 481494 722241 1401271 1444482 2802542 4203813 8407626 12611439 18216523 25222878 36433046 54649569 109299138 163948707 327897414