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327684096 = 212332963
BaseRepresentation
bin10011100010000…
…001000000000000
3211211121002002000
4103202001000000
51132341342341
652303224000
711056161135
oct2342010000
9754532060
10327684096
11158a72a03
12918a8000
1352b7191c
143173c58c
151db7b8b6
hex13881000

327684096 has 104 divisors (see below), whose sum is σ = 971124960. Its totient is φ = 109191168.

The previous prime is 327684041. The next prime is 327684101. The reversal of 327684096 is 690486723.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109111 + ... + 112073.

It is an arithmetic number, because the mean of its divisors is an integer number (9337740).

Almost surely, 2327684096 is an apocalyptic number.

327684096 is a gapful number since it is divisible by the number (36) 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 327684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485562480).

327684096 is an abundant number, since it is smaller than the sum of its proper divisors (643440864).

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

327684096 is an equidigital number, since it uses as much as digits as its factorization.

327684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 327684096 is about 18102.0467351071. The cubic root of 327684096 is about 689.4219733778.

It can be divided in two parts, 32768 and 4096, that multiplied together give a 27-th power (134217728 = 227).

The spelling of 327684096 in words is "three hundred twenty-seven million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 2963 3072 3456 4096 4608 5926 6144 6912 8889 9216 11852 12288 13824 17778 18432 23704 26667 27648 35556 36864 47408 53334 55296 71112 80001 94816 106668 110592 142224 160002 189632 213336 284448 320004 379264 426672 568896 640008 758528 853344 1137792 1280016 1517056 1706688 2275584 2560032 3034112 3413376 4551168 5120064 6068224 6826752 9102336 10240128 12136448 13653504 18204672 20480256 27307008 36409344 40960512 54614016 81921024 109228032 163842048 327684096