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3820392 = 233323769
BaseRepresentation
bin1110100100101101101000
321012002121000
432210231220
51434223032
6213515000
744321112
oct16445550
97162530
103820392
11217a354
121342a60
13a39bb4
147163b2
15506e7c
hex3a4b68

3820392 has 64 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 1216512.

The previous prime is 3820391. The next prime is 3820423. The reversal of 3820392 is 2930283.

3820392 is digitally balanced in base 2, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3820391) 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 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 5352.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 23820392 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 3820392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544000).

3820392 is an abundant number, since it is smaller than the sum of its proper divisors (7267608).

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

3820392 is a wasteful number, since it uses less digits than its factorization.

3820392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3820392 is about 1954.5823083206. The cubic root of 3820392 is about 156.3277134482.

The spelling of 3820392 in words is "three million, eight hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 769 828 1242 1538 1656 2307 2484 3076 4614 4968 6152 6921 9228 13842 17687 18456 20763 27684 35374 41526 53061 55368 70748 83052 106122 141496 159183 166104 212244 318366 424488 477549 636732 955098 1273464 1910196 3820392