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386940000 = 253546449
BaseRepresentation
bin10111000100000…
…011110001100000
3222222002120220010
4113010003301200
51243024040000
6102221244520
712405635646
oct2704036140
9888076803
10386940000
11189465827
12a9703740
136221aca5
1439565196
1523e83d50
hex17103c60

386940000 has 120 divisors (see below), whose sum is σ = 1269437400. Its totient is φ = 103168000.

The previous prime is 386939951. The next prime is 386940007. The reversal of 386940000 is 49683.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 386940000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386940007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56776 + ... + 63224.

It is an arithmetic number, because the mean of its divisors is an integer number (10578645).

Almost surely, 2386940000 is an apocalyptic number.

386940000 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 386940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634718700).

386940000 is an abundant number, since it is smaller than the sum of its proper divisors (882497400).

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

386940000 is an equidigital number, since it uses as much as digits as its factorization.

386940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 386940000 is about 19670.7905280901. The cubic root of 386940000 is about 728.6985003821.

Adding to 386940000 its reverse (49683), we get a palindrome (386989683).

The spelling of 386940000 in words is "three hundred eighty-six million, nine hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 6449 7500 10000 12000 12898 15000 19347 20000 25796 30000 32245 38694 51592 60000 64490 77388 96735 103184 128980 154776 161225 193470 206368 257960 309552 322450 386940 483675 515920 619104 644900 773880 806125 967350 1031840 1289800 1547760 1612250 1934700 2418375 2579600 3095520 3224500 3869400 4030625 4836750 5159200 6449000 7738800 8061250 9673500 12091875 12898000 15477600 16122500 19347000 24183750 25796000 32245000 38694000 48367500 64490000 77388000 96735000 128980000 193470000 386940000