Base | Representation |
---|---|
bin | 10011100111011… |
… | …110100100111000 |
3 | 211221021211020000 |
4 | 103213132210320 |
5 | 1133223202320 |
6 | 52354033000 |
7 | 11104303515 |
oct | 2347364470 |
9 | 757254200 |
10 | 329115960 |
11 | 159860768 |
12 | 92278760 |
13 | 53253594 |
14 | 319d230c |
15 | 1dd60c90 |
hex | 139de938 |
329115960 has 160 divisors (see below), whose sum is σ = 1114961760. Its totient is φ = 87070464.
The previous prime is 329115959. The next prime is 329115961. The reversal of 329115960 is 69511923.
329115960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (329115959) and next prime (329115961).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (329115961) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508357 + ... + 509003.
It is an arithmetic number, because the mean of its divisors is an integer number (6968511).
Almost surely, 2329115960 is an apocalyptic number.
329115960 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 329115960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557480880).
329115960 is an abundant number, since it is smaller than the sum of its proper divisors (785845800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
329115960 is a wasteful number, since it uses less digits than its factorization.
329115960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 827 (or 814 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 36.
The square root of 329115960 is about 18141.5534064754. The cubic root of 329115960 is about 690.4246912922.
The spelling of 329115960 in words is "three hundred twenty-nine million, one hundred fifteen thousand, nine hundred sixty".
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