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328885956 = 223271916833
BaseRepresentation
bin10011100110100…
…110011011000100
3211220212010201100
4103212212123010
51133143322311
652345100100
711102325120
oct2346463304
9756763640
10328885956
11159713983
1292187630
13531a2999
1431972580
151dd17a56
hex139a66c4

328885956 has 72 divisors (see below), whose sum is σ = 955229184. Its totient is φ = 93461760.

The previous prime is 328885937. The next prime is 328885979. The reversal of 328885956 is 659588823.

328885956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44716 + ... + 51548.

It is an arithmetic number, because the mean of its divisors is an integer number (13267072).

Almost surely, 2328885956 is an apocalyptic number.

328885956 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 328885956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477614592).

328885956 is an abundant number, since it is smaller than the sum of its proper divisors (626343228).

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

328885956 is a wasteful number, since it uses less digits than its factorization.

328885956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7036 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 328885956 is about 18135.2131501121. The cubic root of 328885956 is about 690.2638184620.

The spelling of 328885956 in words is "three hundred twenty-eight million, eight hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3438 4011 5348 6833 6876 8022 12033 13666 16044 20499 24066 27332 40998 47831 48132 61497 81996 95662 122994 143493 191324 245988 286986 430479 573972 860958 1305103 1721916 2610206 3915309 5220412 7830618 9135721 11745927 15661236 18271442 23491854 27407163 36542884 46983708 54814326 82221489 109628652 164442978 328885956