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4144014 = 233719577
BaseRepresentation
bin1111110011101110001110
321210112112000
433303232032
52030102024
6224453130
750136450
oct17635616
97715460
104144014
112380506
12147a1a6
13b212a4
1479c2d0
1556ccc9
hex3f3b8e

4144014 has 64 divisors (see below), whose sum is σ = 11097600. Its totient is φ = 1119744.

The previous prime is 4144001. The next prime is 4144031. The reversal of 4144014 is 4104414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6894 + ... + 7470.

It is an arithmetic number, because the mean of its divisors is an integer number (173400).

Almost surely, 24144014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548800).

4144014 is an abundant number, since it is smaller than the sum of its proper divisors (6953586).

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

4144014 is a wasteful number, since it uses less digits than its factorization.

4144014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4144014 is about 2035.6851426485. The cubic root of 4144014 is about 160.6227552463.

Adding to 4144014 its reverse (4104414), we get a palindrome (8248428).

The spelling of 4144014 in words is "four million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 577 798 1026 1154 1197 1731 2394 3462 3591 4039 5193 7182 8078 10386 10963 12117 15579 21926 24234 31158 32889 36351 65778 72702 76741 98667 109053 153482 197334 218106 230223 296001 460446 592002 690669 1381338 2072007 4144014