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320269680 = 24335314783
BaseRepresentation
bin10011000101101…
…110110101110000
3211022122101102000
4103011232311300
51123442112210
651440254000
710636150563
oct2305566560
9738571360
10320269680
11154869395
128b311300
1351476bb3
143076c4da
151d1b4ac0
hex1316ed70

320269680 has 160 divisors (see below), whose sum is σ = 1138974720. Its totient is φ = 82632960.

The previous prime is 320269679. The next prime is 320269699. The reversal of 320269680 is 86962023.

320269680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64569 + ... + 69351.

It is an arithmetic number, because the mean of its divisors is an integer number (7118592).

Almost surely, 2320269680 is an apocalyptic number.

320269680 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 320269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569487360).

320269680 is an abundant number, since it is smaller than the sum of its proper divisors (818705040).

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

320269680 is a wasteful number, since it uses less digits than its factorization.

320269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 320269680 is about 17896.0800177022. The cubic root of 320269680 is about 684.1824690166.

The spelling of 320269680 in words is "three hundred twenty million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 4783 5580 6696 7440 8370 9566 11160 13392 14349 16740 19132 22320 23915 28698 33480 38264 43047 47830 57396 66960 71745 76528 86094 95660 114792 129141 143490 148273 172188 191320 215235 229584 258282 286980 296546 344376 382640 430470 444819 516564 573960 593092 645705 688752 741365 860940 889638 1033128 1147920 1186184 1291410 1334457 1482730 1721880 1779276 2066256 2224095 2372368 2582820 2668914 2965460 3443760 3558552 4003371 4448190 5165640 5337828 5930920 6672285 7117104 8006742 8896380 10331280 10675656 11861840 13344570 16013484 17792760 20016855 21351312 26689140 32026968 35585520 40033710 53378280 64053936 80067420 106756560 160134840 320269680