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3820938 = 2311219277
BaseRepresentation
bin1110100100110110001010
321012010100020
432210312022
51434232223
6213521310
744322522
oct16446612
97163306
103820938
11217a800
121343236
13a3a214
14716682
155071e3
hex3a4d8a

3820938 has 48 divisors (see below), whose sum is σ = 8873760. Its totient is φ = 1092960.

The previous prime is 3820933. The next prime is 3820963. The reversal of 3820938 is 8390283.

3820938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3820899 and 3820908.

It is not an unprimeable number, because it can be changed into a prime (3820933) 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 23 ways as a sum of consecutive naturals, for example, 13656 + ... + 13932.

It is an arithmetic number, because the mean of its divisors is an integer number (184870).

Almost surely, 23820938 is an apocalyptic number.

3820938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436880).

3820938 is an abundant number, since it is smaller than the sum of its proper divisors (5052822).

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

3820938 is a wasteful number, since it uses less digits than its factorization.

3820938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3820938 is about 1954.7219751156. The cubic root of 3820938 is about 156.3351604036.

Adding to 3820938 its reverse (8390283), we get a palindrome (12211221).

The spelling of 3820938 in words is "three million, eight hundred twenty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 277 363 418 554 627 726 831 1254 1662 2299 3047 4598 5263 6094 6897 9141 10526 13794 15789 18282 31578 33517 57893 67034 100551 115786 173679 201102 347358 636823 1273646 1910469 3820938