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3144414 = 237132443
BaseRepresentation
bin1011111111101011011110
312220202022210
423333223132
51301110124
6151221250
735504250
oct13775336
95822283
103144414
111858499
121077826
13861300
145bbcd0
15421a29
hex2ffade

3144414 has 48 divisors (see below), whose sum is σ = 7800192. Its totient is φ = 827424.

The previous prime is 3144403. The next prime is 3144419. The reversal of 3144414 is 4144413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6877 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (162504).

Almost surely, 23144414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900096).

3144414 is an abundant number, since it is smaller than the sum of its proper divisors (4655778).

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

3144414 is a wasteful number, since it uses less digits than its factorization.

3144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 3144414 is about 1773.2495594247. The cubic root of 3144414 is about 146.5030188043.

Adding to 3144414 its reverse (4144413), we get a palindrome (7288827).

Subtracting 3144414 from its reverse (4144413), we obtain a palindrome (999999).

The spelling of 3144414 in words is "three million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 443 507 546 886 1014 1183 1329 2366 2658 3101 3549 5759 6202 7098 9303 11518 17277 18606 34554 40313 74867 80626 120939 149734 224601 241878 449202 524069 1048138 1572207 3144414