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327040128 = 27322312343
BaseRepresentation
bin10011011111100…
…011110010000000
3211210101100201100
4103133203302000
51132210241003
652241334400
711050536522
oct2337436200
9753340640
10327040128
111586730a8
1291637400
13529a778c
1431611a12
151daa0ba3
hex137e3c80

327040128 has 96 divisors (see below), whose sum is σ = 982088640. Its totient is φ = 104265216.

The previous prime is 327040117. The next prime is 327040139. The reversal of 327040128 is 821040723.

It is an interprime number because it is at equal distance from previous prime (327040117) and next prime (327040139).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20325 + ... + 32667.

It is an arithmetic number, because the mean of its divisors is an integer number (10230090).

Almost surely, 2327040128 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 327040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491044320).

327040128 is an abundant number, since it is smaller than the sum of its proper divisors (655048512).

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

327040128 is a wasteful number, since it uses less digits than its factorization.

327040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12386 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 327040128 is about 18084.2508277230. The cubic root of 327040128 is about 688.9700576036.

The spelling of 327040128 in words is "three hundred twenty-seven million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 12343 13248 24686 26496 37029 49372 74058 98744 111087 148116 197488 222174 283889 296232 394976 444348 567778 592464 789952 851667 888696 1135556 1184928 1579904 1703334 1777392 2271112 2369856 2555001 3406668 3554784 4542224 4739712 5110002 6813336 7109568 9084448 10220004 13626672 14219136 18168896 20440008 27253344 36337792 40880016 54506688 81760032 109013376 163520064 327040128