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320132214 = 232372332063
BaseRepresentation
bin10011000101001…
…101010001110110
3211022101101211200
4103011031101312
51123423212324
651433313330
710635036033
oct2305152166
9738341750
10320132214
11154785086
128b265846
135142945c
143073438a
151d188ec9
hex1314d476

320132214 has 48 divisors (see below), whose sum is σ = 715770432. Its totient is φ = 103330944.

The previous prime is 320132213. The next prime is 320132221. The reversal of 320132214 is 412231023.

320132214 is a `hidden beast` number, since 320 + 132 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320132213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154147 + ... + 156209.

It is an arithmetic number, because the mean of its divisors is an integer number (14911884).

Almost surely, 2320132214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320132214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357885216).

320132214 is an abundant number, since it is smaller than the sum of its proper divisors (395638218).

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

320132214 is a wasteful number, since it uses less digits than its factorization.

320132214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320132214 is about 17892.2389320062. The cubic root of 320132214 is about 684.0845668499.

Adding to 320132214 its reverse (412231023), we get a palindrome (732363237).

The spelling of 320132214 in words is "three hundred twenty million, one hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 233 333 466 666 699 1398 2063 2097 4126 4194 6189 8621 12378 17242 18567 25863 37134 51726 76331 77589 152662 155178 228993 457986 480679 686979 961358 1373958 1442037 2884074 4326111 8652222 17785123 35570246 53355369 106710738 160066107 320132214