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320134320 = 243251183487
BaseRepresentation
bin10011000101001…
…101110010110000
3211022101111201200
4103011031302300
51123423244240
651433331200
710635045132
oct2305156260
9738344650
10320134320
11154786720
128b266b00
135142a3bc
1430735052
151d189930
hex1314dcb0

320134320 has 240 divisors, whose sum is σ = 1189423872. Its totient is φ = 76515840.

The previous prime is 320134319. The next prime is 320134333. The reversal of 320134320 is 23431023.

320134320 is a `hidden beast` number, since 320 + 1 + 343 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 320134293 and 320134302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 657117 + ... + 657603.

Almost surely, 2320134320 is an apocalyptic number.

320134320 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 320134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594711936).

320134320 is an abundant number, since it is smaller than the sum of its proper divisors (869289552).

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

320134320 is a wasteful number, since it uses less digits than its factorization.

320134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320134320 is about 17892.2977842422. The cubic root of 320134320 is about 684.0860669374.

Adding to 320134320 its reverse (23431023), we get a palindrome (343565343).

The spelling of 320134320 in words is "three hundred twenty million, one hundred thirty-four thousand, three hundred twenty".