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3840045 = 351117372
BaseRepresentation
bin1110101001100000101101
321020002112220
432221200231
51440340140
6214145553
744432316
oct16514055
97202486
103840045
1121930a0
1213522b9
13a45b21
1471d60d
1550cbd0
hex3a982d

3840045 has 48 divisors (see below), whose sum is σ = 7293888. Its totient is φ = 1704960.

The previous prime is 3840043. The next prime is 3840059. The reversal of 3840045 is 5400483.

It is a happy number.

3840045 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 3840045 - 21 = 3840043 is a prime.

3840045 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3839997 and 3840024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840043) 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, 103767 + ... + 103803.

It is an arithmetic number, because the mean of its divisors is an integer number (151956).

Almost surely, 23840045 is an apocalyptic number.

It is an amenable number.

3840045 is a deficient number, since it is larger than the sum of its proper divisors (3453843).

3840045 is a wasteful number, since it uses less digits than its factorization.

3840045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3840045 is about 1959.6032761761. The cubic root of 3840045 is about 156.5953173424.

It can be divided in two parts, 38400 and 45, that multiplied together give a cube (1728000 = 1203).

The spelling of 3840045 in words is "three million, eight hundred forty thousand, forty-five".

Divisors: 1 3 5 11 15 17 33 37 51 55 85 111 165 185 187 255 407 555 561 629 935 1221 1369 1887 2035 2805 3145 4107 6105 6845 6919 9435 15059 20535 20757 23273 34595 45177 69819 75295 103785 116365 225885 256003 349095 768009 1280015 3840045