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3112144 = 24737751
BaseRepresentation
bin1011110111110011010000
312212010001121
423313303100
51244042034
6150412024
735311210
oct13676320
95763047
103112144
111836222
121061014
1384c709
145b0240
154171b4
hex2f7cd0

3112144 has 40 divisors (see below), whose sum is σ = 7086848. Its totient is φ = 1296000.

The previous prime is 3112141. The next prime is 3112147. The reversal of 3112144 is 4412113.

It is an interprime number because it is at equal distance from previous prime (3112141) and next prime (3112147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112141) 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, 3769 + ... + 4519.

Almost surely, 23112144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543424).

3112144 is an abundant number, since it is smaller than the sum of its proper divisors (3974704).

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

3112144 is a wasteful number, since it uses less digits than its factorization.

3112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 3112144 is about 1764.1269795567. The cubic root of 3112144 is about 146.0001251015. Note that the first 3 decimals are identical.

Adding to 3112144 its reverse (4412113), we get a palindrome (7524257).

The spelling of 3112144 in words is "three million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 751 1036 1502 2072 3004 4144 5257 6008 10514 12016 21028 27787 42056 55574 84112 111148 194509 222296 389018 444592 778036 1556072 3112144