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384713820 = 22335712433
BaseRepresentation
bin10110111011100…
…100010001011100
3222210220111011000
4112323210101130
51241441320240
6102101430300
712351004431
oct2673442134
9883814130
10384713820
11188185207
12a8a0b390
136191b91a
1439145b88
1523b94430
hex16ee445c

384713820 has 48 divisors (see below), whose sum is σ = 1196889120. Its totient is φ = 102590208.

The previous prime is 384713779. The next prime is 384713831. The reversal of 384713820 is 28317483.

384713820 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355677 + ... + 356756.

It is an arithmetic number, because the mean of its divisors is an integer number (24935190).

Almost surely, 2384713820 is an apocalyptic number.

384713820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384713820 is an abundant number, since it is smaller than the sum of its proper divisors (812175300).

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

384713820 is a wasteful number, since it uses less digits than its factorization.

384713820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712451 (or 712443 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 384713820 is about 19614.1229730009. The cubic root of 384713820 is about 727.2983392590.

The spelling of 384713820 in words is "three hundred eighty-four million, seven hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 712433 1424866 2137299 2849732 3562165 4274598 6411897 7124330 8549196 10686495 12823794 14248660 19235691 21372990 25647588 32059485 38471382 42745980 64118970 76942764 96178455 128237940 192356910 384713820