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328888320 = 2123553101
BaseRepresentation
bin10011100110100…
…111000000000000
3211220212020221220
4103212213000000
51133143411240
652345115040
711102335035
oct2346470000
9756766856
10328888320
11159715732
1292188a80
13531a3a97
143197338c
151dd185d0
hex139a7000

328888320 has 208 divisors, whose sum is σ = 1082784672. Its totient is φ = 85196800.

The previous prime is 328888303. The next prime is 328888321. The reversal of 328888320 is 23888823.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328888321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3256270 + ... + 3256370.

Almost surely, 2328888320 is an apocalyptic number.

328888320 is a gapful number since it is divisible by the number (30) 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 328888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541392336).

328888320 is an abundant number, since it is smaller than the sum of its proper divisors (753896352).

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

328888320 is a wasteful number, since it uses less digits than its factorization.

328888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 328888320 is about 18135.2783270619. The cubic root of 328888320 is about 690.2654723076.

The spelling of 328888320 in words is "three hundred twenty-eight million, eight hundred eighty-eight thousand, three hundred twenty".