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385460208 = 243674721
BaseRepresentation
bin10110111110011…
…010011111110000
3222212022102000000
4112332122133300
51242134211313
6102125430000
712360233460
oct2676323760
9885272000
10385460208
11188644a61
12a910b300
1361b20583
143929bba0
1523c90673
hex16f9a7f0

385460208 has 140 divisors (see below), whose sum is σ = 1279964208. Its totient is φ = 110108160.

The previous prime is 385460203. The next prime is 385460209. The reversal of 385460208 is 802064583.

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 (385460203) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79288 + ... + 84008.

Almost surely, 2385460208 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 385460208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639982104).

385460208 is an abundant number, since it is smaller than the sum of its proper divisors (894504000).

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

385460208 is an equidigital number, since it uses as much as digits as its factorization.

385460208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 385460208 is about 19633.1405536659. The cubic root of 385460208 is about 727.7683822202.

The spelling of 385460208 in words is "three hundred eighty-five million, four hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 4721 5103 5832 6804 9072 9442 10206 11664 13608 14163 18884 20412 27216 28326 33047 37768 40824 42489 56652 66094 75536 81648 84978 99141 113304 127467 132188 169956 198282 226608 254934 264376 297423 339912 382401 396564 509868 528752 594846 679824 764802 793128 892269 1019736 1147203 1189692 1529604 1586256 1784538 2039472 2294406 2379384 2676807 3059208 3441609 3569076 4588812 4758768 5353614 6118416 6883218 7138152 8030421 9177624 10707228 13766436 14276304 16060842 18355248 21414456 24091263 27532872 32121684 42828912 48182526 55065744 64243368 96365052 128486736 192730104 385460208