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3824240 = 24576829
BaseRepresentation
bin1110100101101001110000
321012021212112
432211221300
51434333430
6213544452
744335250
oct16455160
97167775
103824240
112182232
121345128
13a3b884
14717960
15508195
hex3a5a70

3824240 has 40 divisors (see below), whose sum is σ = 10163040. Its totient is φ = 1310976.

The previous prime is 3824231. The next prime is 3824243. The reversal of 3824240 is 424283.

3824240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824243) 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, 2855 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (254076).

Almost surely, 23824240 is an apocalyptic number.

It is an amenable number.

3824240 is an abundant number, since it is smaller than the sum of its proper divisors (6338800).

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

3824240 is a wasteful number, since it uses less digits than its factorization.

3824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3824240 is about 1955.5664141113. The cubic root of 3824240 is about 156.3801816407.

The spelling of 3824240 in words is "three million, eight hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6829 13658 27316 34145 47803 54632 68290 95606 109264 136580 191212 239015 273160 382424 478030 546320 764848 956060 1912120 3824240