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327416096 = 2577320023
BaseRepresentation
bin10011100000111…
…111100100100000
3211211002110110002
4103200333210200
51132304303341
652253355132
711053663610
oct2340774440
9754073402
10327416096
111588aa617
1291798aa8
1352aa9947
14316aca40
151db2729b
hex1383f920

327416096 has 48 divisors (see below), whose sum is σ = 746815104. Its totient is φ = 138392064.

The previous prime is 327416087. The next prime is 327416101. The reversal of 327416096 is 690614723.

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 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 26363.

It is an arithmetic number, because the mean of its divisors is an integer number (15558648).

Almost surely, 2327416096 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 327416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373407552).

327416096 is an abundant number, since it is smaller than the sum of its proper divisors (419399008).

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

327416096 is a wasteful number, since it uses less digits than its factorization.

327416096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113 (or 20105 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 327416096 is about 18094.6427430884. The cubic root of 327416096 is about 689.2339716970.

The spelling of 327416096 in words is "three hundred twenty-seven million, four hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 20023 40046 80092 140161 160184 280322 320368 560644 640736 1121288 1461679 2242576 2923358 4485152 5846716 10231753 11693432 20463506 23386864 40927012 46773728 81854024 163708048 327416096