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320351130 = 2325112231279
BaseRepresentation
bin10011000110000…
…010101110011010
3211022210112010200
4103012002232122
51124002214010
651442123030
710636640211
oct2306025632
9738715120
10320351130
11154914600
128b350476
13514a4ca8
1430790078
151d1cdcc0
hex13182b9a

320351130 has 144 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 74226240.

The previous prime is 320351113. The next prime is 320351131. The reversal of 320351130 is 31153023.

320351130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (320351131) 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 71 ways as a sum of consecutive naturals, for example, 249831 + ... + 251109.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2320351130 is an apocalyptic number.

320351130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320351130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

320351130 is an abundant number, since it is smaller than the sum of its proper divisors (635716710).

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

320351130 is a wasteful number, since it uses less digits than its factorization.

320351130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 320351130 is about 17898.3555110518. The cubic root of 320351130 is about 684.2404638276.

The spelling of 320351130 in words is "three hundred twenty million, three hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 121 138 165 198 207 230 242 253 330 345 363 414 495 506 605 690 726 759 990 1035 1089 1210 1265 1279 1518 1815 2070 2178 2277 2530 2558 2783 3630 3795 3837 4554 5445 5566 6395 7590 7674 8349 10890 11385 11511 12790 13915 14069 16698 19185 22770 23022 25047 27830 28138 29417 38370 41745 42207 50094 57555 58834 70345 83490 84414 88251 115110 125235 126621 140690 147085 154759 176502 211035 250470 253242 264753 294170 309518 323587 422070 441255 464277 529506 633105 647174 773795 882510 928554 970761 1266210 1323765 1392831 1547590 1617935 1941522 2321385 2647530 2785662 2912283 3235870 3559457 4642770 4853805 5824566 6964155 7118914 9707610 10678371 13928310 14561415 17797285 21356742 29122830 32035113 35594570 53391855 64070226 106783710 160175565 320351130