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3144288 = 25374679
BaseRepresentation
bin1011111111101001100000
312220202011010
423333221200
51301104123
6151220520
735504010
oct13775140
95822133
103144288
111858394
121077740
13861234
145bbc40
15421993
hex2ffa60

3144288 has 48 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 898176.

The previous prime is 3144283. The next prime is 3144293. The reversal of 3144288 is 8824413.

It is an interprime number because it is at equal distance from previous prime (3144283) and next prime (3144293).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 23144288 is an apocalyptic number.

It is an amenable number.

3144288 is an abundant number, since it is smaller than the sum of its proper divisors (6290592).

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

3144288 is a wasteful number, since it uses less digits than its factorization.

3144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4691 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 3144288 is about 1773.2140310746. The cubic root of 3144288 is about 146.5010619344.

The spelling of 3144288 in words is "three million, one hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4679 9358 14037 18716 28074 32753 37432 56148 65506 74864 98259 112296 131012 149728 196518 224592 262024 393036 449184 524048 786072 1048096 1572144 3144288