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386380008 = 233271515077
BaseRepresentation
bin10111000001111…
…011000011101000
3222221001010201200
4113001323003220
51242403130013
6102201244200
712401114220
oct2701730350
9887033650
10386380008
11189113023
12a9493660
1362083131
143945b080
1523dc2e73
hex1707b0e8

386380008 has 96 divisors (see below), whose sum is σ = 1204095360. Its totient is φ = 109641600.

The previous prime is 386379949. The next prime is 386380009. The reversal of 386380008 is 800083683.

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

It is not an unprimeable number, because it can be changed into a prime (386380009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73566 + ... + 78642.

It is an arithmetic number, because the mean of its divisors is an integer number (12542660).

Almost surely, 2386380008 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 386380008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602047680).

386380008 is an abundant number, since it is smaller than the sum of its proper divisors (817715352).

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

386380008 is a wasteful number, since it uses less digits than its factorization.

386380008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386380008 is about 19656.5512743207. The cubic root of 386380008 is about 728.3467987021.

The spelling of 386380008 in words is "three hundred eighty-six million, three hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1812 2114 2718 3171 3624 4228 5077 5436 6342 8456 9513 10154 10872 12684 15231 19026 20308 25368 30462 35539 38052 40616 45693 60924 71078 76104 91386 106617 121848 142156 182772 213234 284312 319851 365544 426468 639702 766627 852936 1279404 1533254 2299881 2558808 3066508 4599762 5366389 6133016 6899643 9199524 10732778 13799286 16099167 18399048 21465556 27598572 32198334 42931112 48297501 55197144 64396668 96595002 128793336 193190004 386380008