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385479000 = 2334534759
BaseRepresentation
bin10110111110011…
…111000101011000
3222212100100210000
4112332133011120
51242140312000
6102130053000
712360342324
oct2676370530
9885310700
10385479000
11188658095
12a911a160
1361b28caa
14392a4984
1523c96000
hex16f9f158

385479000 has 160 divisors (see below), whose sum is σ = 1347746400. Its totient is φ = 102772800.

The previous prime is 385478993. The next prime is 385479001. The reversal of 385479000 is 974583.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385479001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78621 + ... + 83379.

It is an arithmetic number, because the mean of its divisors is an integer number (8423415).

Almost surely, 2385479000 is an apocalyptic number.

385479000 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 385479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673873200).

385479000 is an abundant number, since it is smaller than the sum of its proper divisors (962267400).

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

385479000 is a wasteful number, since it uses less digits than its factorization.

385479000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 385479000 is about 19633.6191263863. The cubic root of 385479000 is about 727.7802087771.

The spelling of 385479000 in words is "three hundred eighty-five million, four hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 4759 5400 6750 8100 9000 9518 10125 13500 14277 16200 19036 20250 23795 27000 28554 38072 40500 42831 47590 57108 71385 81000 85662 95180 114216 118975 128493 142770 171324 190360 214155 237950 256986 285540 342648 356925 385479 428310 475900 513972 571080 594875 642465 713850 770958 856620 951800 1027944 1070775 1189750 1284930 1427700 1541916 1713240 1784625 1927395 2141550 2379500 2569860 2855400 3083832 3212325 3569250 3854790 4283100 4759000 5139720 5353875 6424650 7138500 7709580 8566200 9636975 10707750 12849300 14277000 15419160 16061625 19273950 21415500 25698600 32123250 38547900 42831000 48184875 64246500 77095800 96369750 128493000 192739500 385479000