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14344220 = 22511113577
BaseRepresentation
bin110110101110…
…000000011100
3222222202120102
4312232000130
512133003340
61231240232
7232631612
oct66560034
928882512
1014344220
118108030
124979078
132c83007
141c956b2
1513d5215
hexdae01c

14344220 has 48 divisors (see below), whose sum is σ = 33209568. Its totient is φ = 5160960.

The previous prime is 14344199. The next prime is 14344223. The reversal of 14344220 is 2244341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14344192 and 14344201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344223) 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, 24572 + ... + 25148.

It is an arithmetic number, because the mean of its divisors is an integer number (691866).

Almost surely, 214344220 is an apocalyptic number.

14344220 is a gapful number since it is divisible by the number (10) 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 14344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604784).

14344220 is an abundant number, since it is smaller than the sum of its proper divisors (18865348).

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

14344220 is a wasteful number, since it uses less digits than its factorization.

14344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 14344220 is about 3787.3764006235. The cubic root of 14344220 is about 242.9735388665.

Adding to 14344220 its reverse (2244341), we get a palindrome (16588561).

The spelling of 14344220 in words is "fourteen million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 577 1130 1154 1243 2260 2308 2486 2885 4972 5770 6215 6347 11540 12430 12694 24860 25388 31735 63470 65201 126940 130402 260804 326005 652010 717211 1304020 1434422 2868844 3586055 7172110 14344220