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320330112 = 2731376089
BaseRepresentation
bin10011000101111…
…101100110000000
3211022202110022020
4103011331212000
51124001030422
651441441440
710636522014
oct2305754600
9738673266
10320330112
111548aa833
128b340280
135149855b
1430786544
151d1c795c
hex1317d980

320330112 has 64 divisors (see below), whose sum is σ = 857228400. Its totient is φ = 105979904.

The previous prime is 320330081. The next prime is 320330119. The reversal of 320330112 is 211033023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3203301122 = 205222761307865088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320330091 and 320330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320330119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49564 + ... + 55652.

Almost surely, 2320330112 is an apocalyptic number.

320330112 is a gapful number since it is divisible by the number (32) 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 320330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428614200).

320330112 is an abundant number, since it is smaller than the sum of its proper divisors (536898288).

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

320330112 is a wasteful number, since it uses less digits than its factorization.

320330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 320330112 is about 17897.7683525070. The cubic root of 320330112 is about 684.2254993306.

Adding to 320330112 its reverse (211033023), we get a palindrome (531363135).

The spelling of 320330112 in words is "three hundred twenty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 3288 4384 6089 6576 8768 12178 13152 17536 18267 24356 26304 36534 48712 52608 73068 97424 146136 194848 292272 389696 584544 779392 834193 1169088 1668386 2338176 2502579 3336772 5005158 6673544 10010316 13347088 20020632 26694176 40041264 53388352 80082528 106776704 160165056 320330112