Search a number
-
+
3834075 = 352767109
BaseRepresentation
bin1110101000000011011011
321012210100210
432220003123
51440142300
6214102203
744406030
oct16500333
97183323
103834075
112189663
12134a963
13a431ab
1471b387
1550b050
hex3a80db

3834075 has 48 divisors (see below), whose sum is σ = 7420160. Its totient is φ = 1710720.

The previous prime is 3834059. The next prime is 3834079. The reversal of 3834075 is 5704383.

3834075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3834075 - 24 = 3834059 is a prime.

It is a super-2 number, since 2×38340752 = 29400262211250, which contains 22 as substring.

3834075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3834079) 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 47 ways as a sum of consecutive naturals, for example, 35121 + ... + 35229.

Almost surely, 23834075 is an apocalyptic number.

3834075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3834075 is a deficient number, since it is larger than the sum of its proper divisors (3586085).

3834075 is a wasteful number, since it uses less digits than its factorization.

3834075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3834075 is about 1958.0794161627. The cubic root of 3834075 is about 156.5141239418.

Subtracting from 3834075 its product of nonzero digits (10080), we obtain a triangular number (3823995 = T2765).

The spelling of 3834075 in words is "three million, eight hundred thirty-four thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 35 67 75 105 109 175 201 327 335 469 525 545 763 1005 1407 1635 1675 2289 2345 2725 3815 5025 7035 7303 8175 11445 11725 19075 21909 35175 36515 51121 57225 109545 153363 182575 255605 547725 766815 1278025 3834075