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327109104 = 24357217101
BaseRepresentation
bin10011011111110…
…100100111110000
3211210111212100000
4103133310213300
51132214442404
652243030000
711051244600
oct2337644760
9753455300
10327109104
1115870aa03
129166b300
13529cccaa
143162cc00
151dab6339
hex137f49f0

327109104 has 360 divisors, whose sum is σ = 1180893168. Its totient is φ = 87091200.

The previous prime is 327109093. The next prime is 327109147. The reversal of 327109104 is 401901723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238654 + ... + 3238754.

Almost surely, 2327109104 is an apocalyptic number.

327109104 is a gapful number since it is divisible by the number (34) 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 327109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590446584).

327109104 is an abundant number, since it is smaller than the sum of its proper divisors (853784064).

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

327109104 is a wasteful number, since it uses less digits than its factorization.

327109104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 327109104 is about 18086.1578009261. The cubic root of 327109104 is about 689.0184910669.

It can be divided in two parts, 32710 and 9104, that added together give a palindrome (41814).

The spelling of 327109104 in words is "three hundred twenty-seven million, one hundred nine thousand, one hundred four".