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327974912 = 21510009
BaseRepresentation
bin10011100011001…
…000000000000000
3211212010211222222
4103203020000000
51132430144122
652313350212
711061512036
oct2343100000
9755124888
10327974912
11159151451
1291a08368
1352c440c5
14317b6556
151dbd7b42
hex138c8000

327974912 has 32 divisors (see below), whose sum is σ = 656005350. Its totient is φ = 163971072.

The previous prime is 327974909. The next prime is 327974921. The reversal of 327974912 is 219479723.

It can be written as a sum of positive squares in only one way, i.e., 173817856 + 154157056 = 13184^2 + 12416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 as a sum of consecutive naturals, namely, 27764 + ... + 37772.

Almost surely, 2327974912 is an apocalyptic number.

327974912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328002675).

327974912 is an abundant number, since it is smaller than the sum of its proper divisors (328030438).

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

327974912 is an frugal number, since it uses more digits than its factorization.

327974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10011 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 327974912 is about 18110.0776364984. The cubic root of 327974912 is about 689.6258645237.

The spelling of 327974912 in words is "three hundred twenty-seven million, nine hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 10009 16384 20018 32768 40036 80072 160144 320288 640576 1281152 2562304 5124608 10249216 20498432 40996864 81993728 163987456 327974912