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320661630 = 232523971597
BaseRepresentation
bin10011000111001…
…110100001111110
3211100101022001200
4103013032201332
51124042133010
651452520330
710642402362
oct2307164176
9740338050
10320661630
11155006913
128b4800a6
1351583413
14308312a2
151d240cc0
hex131ce87e

320661630 has 96 divisors (see below), whose sum is σ = 879488064. Its totient is φ = 80898048.

The previous prime is 320661623. The next prime is 320661641. The reversal of 320661630 is 36166023.

320661630 is a `hidden beast` number, since 3 + 20 + 6 + 6 + 1 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320661594 and 320661603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199992 + ... + 201588.

It is an arithmetic number, because the mean of its divisors is an integer number (9161334).

Almost surely, 2320661630 is an apocalyptic number.

320661630 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 320661630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439744032).

320661630 is an abundant number, since it is smaller than the sum of its proper divisors (558826434).

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

320661630 is a wasteful number, since it uses less digits than its factorization.

320661630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 320661630 is about 17907.0273915019. The cubic root of 320661630 is about 684.4614588962.

The spelling of 320661630 in words is "three hundred twenty million, six hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 97 115 138 194 207 230 291 345 414 485 582 690 873 970 1035 1455 1597 1746 2070 2231 2910 3194 4365 4462 4791 6693 7985 8730 9582 11155 13386 14373 15970 20079 22310 23955 28746 33465 36731 40158 47910 66930 71865 73462 100395 110193 143730 154909 183655 200790 220386 309818 330579 367310 464727 550965 661158 774545 929454 1101930 1394181 1549090 1652895 2323635 2788362 3305790 3562907 4647270 6970905 7125814 10688721 13941810 17814535 21377442 32066163 35629070 53443605 64132326 106887210 160330815 320661630