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320031120 = 24351778439
BaseRepresentation
bin10011000100110…
…100100110010000
3211022012021011110
4103010310212100
51123411443440
651431213320
710634135223
oct2304644620
9738167143
10320031120
11154716132
128b217240
13513c2436
14307095ba
151d169080
hex13134990

320031120 has 80 divisors (see below), whose sum is σ = 1050468480. Its totient is φ = 80320512.

The previous prime is 320031097. The next prime is 320031169. The reversal of 320031120 is 21130023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320031096 and 320031105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35140 + ... + 43299.

It is an arithmetic number, because the mean of its divisors is an integer number (13130856).

Almost surely, 2320031120 is an apocalyptic number.

320031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320031120 is an abundant number, since it is smaller than the sum of its proper divisors (730437360).

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

320031120 is a wasteful number, since it uses less digits than its factorization.

320031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78472 (or 78466 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 320031120 is about 17889.4136292948. The cubic root of 320031120 is about 684.0125506401.

Adding to 320031120 its reverse (21130023), we get a palindrome (341161143).

The spelling of 320031120 in words is "three hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 78439 156878 235317 313756 392195 470634 627512 784390 941268 1176585 1255024 1333463 1568780 1882536 2353170 2666926 3137560 3765072 4000389 4706340 5333852 6275120 6667315 8000778 9412680 10667704 13334630 16001556 18825360 20001945 21335408 26669260 32003112 40003890 53338520 64006224 80007780 106677040 160015560 320031120