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328143816 = 23327111329157
BaseRepresentation
bin10011100011110…
…001001111001000
3211212110102200200
4103203301033020
51133001100231
652321132200
711063114340
oct2343611710
9755412620
10328143816
11159257340
1291a8a060
1352ca2c50
143181bd20
151dc1cbe6
hex138f13c8

328143816 has 384 divisors, whose sum is σ = 1242259200. Its totient is φ = 75479040.

The previous prime is 328143791. The next prime is 328143817. The reversal of 328143816 is 618341823.

328143816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (328143817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2090010 + ... + 2090166.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2328143816 is an apocalyptic number.

328143816 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 328143816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621129600).

328143816 is an abundant number, since it is smaller than the sum of its proper divisors (914115384).

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

328143816 is a wasteful number, since it uses less digits than its factorization.

328143816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 328143816 is about 18114.7402962339. The cubic root of 328143816 is about 689.7442278223.

The spelling of 328143816 in words is "three hundred twenty-eight million, one hundred forty-three thousand, eight hundred sixteen".