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328358016 = 273373277
BaseRepresentation
bin10011100100100…
…101100010000000
3211212212022112000
4103210211202000
51133024424031
652325504000
711064666000
oct2344454200
9755768460
10328358016
11159393268
1291b72000
13530495ac
1431876000
151dc613e6
hex13925880

328358016 has 256 divisors, whose sum is σ = 1134240000. Its totient is φ = 93477888.

The previous prime is 328358011. The next prime is 328358021. The reversal of 328358016 is 610853823.

It is an interprime number because it is at equal distance from previous prime (328358011) and next prime (328358021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328358011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185270 + ... + 1185546.

It is an arithmetic number, because the mean of its divisors is an integer number (4430625).

Almost surely, 2328358016 is an apocalyptic number.

328358016 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 328358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567120000).

328358016 is an abundant number, since it is smaller than the sum of its proper divisors (805881984).

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

328358016 is an equidigital number, since it uses as much as digits as its factorization.

328358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 328358016 is about 18120.6516439117. The cubic root of 328358016 is about 689.8942749164.

The spelling of 328358016 in words is "three hundred twenty-eight million, three hundred fifty-eight thousand, sixteen".