Search a number
-
+
3783940 = 2251371381
BaseRepresentation
bin1110011011110100000100
321010020120221
432123310010
51432041230
6213034124
744106616
oct16336404
97106527
103783940
112154a26
121325944
13a26424
14706db6
154eb27a
hex39bd04

3783940 has 24 divisors (see below), whose sum is σ = 8010072. Its totient is φ = 1501440.

The previous prime is 3783929. The next prime is 3783943. The reversal of 3783940 is 493873.

3783940 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 3356224 = 654^2 + 1832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3783896 and 3783905.

It is not an unprimeable number, because it can be changed into a prime (3783943) 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 7 ways as a sum of consecutive naturals, for example, 2050 + ... + 3430.

It is an arithmetic number, because the mean of its divisors is an integer number (333753).

Almost surely, 23783940 is an apocalyptic number.

It is an amenable number.

3783940 is an abundant number, since it is smaller than the sum of its proper divisors (4226132).

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

3783940 is a wasteful number, since it uses less digits than its factorization.

3783940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3783940 is about 1945.2352042876. The cubic root of 3783940 is about 155.8289270840.

The spelling of 3783940 in words is "three million, seven hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 1381 2740 2762 5524 6905 13810 27620 189197 378394 756788 945985 1891970 3783940