Search a number
-
+
14444352 = 263313643
BaseRepresentation
bin110111000110…
…011101000000
31000011211221000
4313012131000
512144204402
61233332000
7233526546
oct67063500
930154830
1014444352
11817628a
124a07000
132cb9770
141cbdd96
151404c1c
hexdc6740

14444352 has 112 divisors (see below), whose sum is σ = 45801280. Its totient is φ = 4437504.

The previous prime is 14444347. The next prime is 14444359. The reversal of 14444352 is 25344441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22143 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (408940).

Almost surely, 214444352 is an apocalyptic number.

14444352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900640).

14444352 is an abundant number, since it is smaller than the sum of its proper divisors (31356928).

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

14444352 is a wasteful number, since it uses less digits than its factorization.

14444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 661 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 14444352 is about 3800.5725884398. The cubic root of 14444352 is about 243.5375995863.

Adding to 14444352 its reverse (25344441), we get a palindrome (39788793).

The spelling of 14444352 in words is "fourteen million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 643 702 832 864 936 1248 1286 1404 1728 1872 1929 2496 2572 2808 3744 3858 5144 5616 5787 7488 7716 8359 10288 11232 11574 15432 16718 17361 20576 22464 23148 25077 30864 33436 34722 41152 46296 50154 61728 66872 69444 75231 92592 100308 123456 133744 138888 150462 185184 200616 225693 267488 277776 300924 370368 401232 451386 534976 555552 601848 802464 902772 1111104 1203696 1604928 1805544 2407392 3611088 4814784 7222176 14444352