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320030440 = 235171972389
BaseRepresentation
bin10011000100110…
…100011011101000
3211022012020020021
4103010310123220
51123411433230
651431210224
710634133232
oct2304643350
9738166207
10320030440
11154715674
128b216974
13513c2032
1430709252
151d168c7a
hex131346e8

320030440 has 64 divisors (see below), whose sum is σ = 766616400. Its totient is φ = 119820288.

The previous prime is 320030429. The next prime is 320030479. The reversal of 320030440 is 44030023.

It can be written as a sum of positive squares in 8 ways, for example, as 237838084 + 82192356 = 15422^2 + 9066^2 .

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 15 ways as a sum of consecutive naturals, for example, 132766 + ... + 135154.

Almost surely, 2320030440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383308200).

320030440 is an abundant number, since it is smaller than the sum of its proper divisors (446585960).

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

320030440 is a wasteful number, since it uses less digits than its factorization.

320030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320030440 is about 17889.3946236311. The cubic root of 320030440 is about 684.0120661779.

Adding to 320030440 its reverse (44030023), we get a palindrome (364060463).

The spelling of 320030440 in words is "three hundred twenty million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1576 1970 2389 3349 3940 4778 6698 7880 9556 11945 13396 16745 19112 23890 26792 33490 40613 47780 66980 81226 95560 133960 162452 203065 324904 406130 470633 812260 941266 1624520 1882532 2353165 3765064 4706330 8000761 9412660 16001522 18825320 32003044 40003805 64006088 80007610 160015220 320030440