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386370216 = 23334873673
BaseRepresentation
bin10111000001111…
…000101010101000
3222221000122022000
4113001320222220
51242402321331
6102201131000
712401043531
oct2701705250
9887018260
10386370216
11189106731
12a9489a60
136207b83b
1439457688
1523dc00e6
hex17078aa8

386370216 has 64 divisors (see below), whose sum is σ = 1075747200. Its totient is φ = 128490624.

The previous prime is 386370199. The next prime is 386370227. The reversal of 386370216 is 612073683.

It is a happy number.

386370216 is a `hidden beast` number, since 3 + 8 + 637 + 0 + 2 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103356 + ... + 107028.

It is an arithmetic number, because the mean of its divisors is an integer number (16808550).

Almost surely, 2386370216 is an apocalyptic number.

386370216 is a gapful number since it is divisible by the number (36) 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 386370216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537873600).

386370216 is an abundant number, since it is smaller than the sum of its proper divisors (689376984).

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

386370216 is a wasteful number, since it uses less digits than its factorization.

386370216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 386370216 is about 19656.3021954792. The cubic root of 386370216 is about 728.3406458371.

The spelling of 386370216 in words is "three hundred eighty-six million, three hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 487 974 1461 1948 2922 3673 3896 4383 5844 7346 8766 11019 11688 13149 14692 17532 22038 26298 29384 33057 35064 44076 52596 66114 88152 99171 105192 132228 198342 264456 396684 793368 1788751 3577502 5366253 7155004 10732506 14310008 16098759 21465012 32197518 42930024 48296277 64395036 96592554 128790072 193185108 386370216