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328467280 = 24515127191
BaseRepresentation
bin10011100101000…
…000001101010000
3211220001212101211
4103211000031100
51133041423110
652332105504
711065632361
oct2345001520
9756055354
10328467280
11159458369
1292005294
135308724b
14318a3b68
151dc8398a
hex13940350

328467280 has 40 divisors (see below), whose sum is σ = 768772224. Its totient is φ = 130512000.

The previous prime is 328467259. The next prime is 328467281. The reversal of 328467280 is 82764823.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328467281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516 + ... + 25675.

Almost surely, 2328467280 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 328467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384386112).

328467280 is an abundant number, since it is smaller than the sum of its proper divisors (440304944).

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

328467280 is a wasteful number, since it uses less digits than its factorization.

328467280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27355 (or 27349 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 328467280 is about 18123.6662957582. Note that the first 3 decimals coincide. The cubic root of 328467280 is about 689.9707892136.

The spelling of 328467280 in words is "three hundred twenty-eight million, four hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 27191 54382 108764 135955 217528 271910 435056 543820 1087640 2175280 4105841 8211682 16423364 20529205 32846728 41058410 65693456 82116820 164233640 328467280