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3090144 = 25332189
BaseRepresentation
bin1011110010011011100000
312210222212210
423302123200
51242341034
6150122120
735160111
oct13623340
95728783
103090144
111820742
121050340
138426b5
145a6208
154108e9
hex2f26e0

3090144 has 24 divisors (see below), whose sum is σ = 8111880. Its totient is φ = 1030016.

The previous prime is 3090127. The next prime is 3090161. The reversal of 3090144 is 4410903.

3090144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3090127) and next prime (3090161).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3090144.

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, 15999 + ... + 16190.

It is an arithmetic number, because the mean of its divisors is an integer number (337995).

Almost surely, 23090144 is an apocalyptic number.

It is an amenable number.

3090144 is an abundant number, since it is smaller than the sum of its proper divisors (5021736).

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

3090144 is a wasteful number, since it uses less digits than its factorization.

3090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32202 (or 32194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3090144 is about 1757.8805420164. The cubic root of 3090144 is about 145.6552823122.

The spelling of 3090144 in words is "three million, ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 32189 64378 96567 128756 193134 257512 386268 515024 772536 1030048 1545072 3090144