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14293944 = 2332779359
BaseRepresentation
bin110110100001…
…101110111000
3222220012121100
4312201232320
512124401234
61230211400
7232332210
oct66415670
928805540
1014293944
118083285
124953b60
132c66172
141c81240
1513c5399
hexda1bb8

14293944 has 96 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 4021056.

The previous prime is 14293927. The next prime is 14293949. The reversal of 14293944 is 44939241.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 14293899 and 14293908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14293949) 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 23 ways as a sum of consecutive naturals, for example, 39637 + ... + 39995.

It is an arithmetic number, because the mean of its divisors is an integer number (468000).

Almost surely, 214293944 is an apocalyptic number.

14293944 is a gapful number since it is divisible by the number (14) 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 14293944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

14293944 is an abundant number, since it is smaller than the sum of its proper divisors (30634056).

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

14293944 is a wasteful number, since it uses less digits than its factorization.

14293944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14293944 is about 3780.7332622125. The cubic root of 14293944 is about 242.6893352544.

The spelling of 14293944 in words is "fourteen million, two hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 359 474 504 553 632 711 718 948 1077 1106 1422 1436 1659 1896 2154 2212 2513 2844 2872 3231 3318 4308 4424 4977 5026 5688 6462 6636 7539 8616 9954 10052 12924 13272 15078 19908 20104 22617 25848 28361 30156 39816 45234 56722 60312 85083 90468 113444 170166 180936 198527 226888 255249 340332 397054 510498 595581 680664 794108 1020996 1191162 1588216 1786743 2041992 2382324 3573486 4764648 7146972 14293944