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3954144 = 25341189
BaseRepresentation
bin1111000101010111100000
321102220001210
433011113200
52003013034
6220430120
745416055
oct17052740
97386053
103954144
112260897
1213a8340
13a85a3c
1474d02c
155318e9
hex3c55e0

3954144 has 24 divisors (see below), whose sum is σ = 10379880. Its totient is φ = 1318016.

The previous prime is 3954131. The next prime is 3954199. The reversal of 3954144 is 4414593.

3954144 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 (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20499 + ... + 20690.

It is an arithmetic number, because the mean of its divisors is an integer number (432495).

Almost surely, 23954144 is an apocalyptic number.

It is an amenable number.

3954144 is an abundant number, since it is smaller than the sum of its proper divisors (6425736).

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

3954144 is a wasteful number, since it uses less digits than its factorization.

3954144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41202 (or 41194 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3954144 is about 1988.5029544861. The cubic root of 3954144 is about 158.1311734481.

The spelling of 3954144 in words is "three million, nine hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 41189 82378 123567 164756 247134 329512 494268 659024 988536 1318048 1977072 3954144