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14434224 = 2437217192
BaseRepresentation
bin110111000011…
…111110110000
31000011100000220
4313003332300
512143343344
61233213040
7233455200
oct67037660
930140026
1014434224
118169712
124a01180
132cb4c7c
141cba400
151401c19
hexdc3fb0

14434224 has 180 divisors, whose sum is σ = 48472344. Its totient is φ = 3677184.

The previous prime is 14434223. The next prime is 14434253. The reversal of 14434224 is 42243441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (3072) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14434194 and 14434203.

It is not an unprimeable number, because it can be changed into a prime (14434223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759687 + ... + 759705.

Almost surely, 214434224 is an apocalyptic number.

14434224 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 14434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236172).

14434224 is an abundant number, since it is smaller than the sum of its proper divisors (34038120).

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

14434224 is a wasteful number, since it uses less digits than its factorization.

14434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 14434224 is about 3799.2399239848. The cubic root of 14434224 is about 243.4806655560.

Adding to 14434224 its reverse (42243441), we get a palindrome (56677665).

The spelling of 14434224 in words is "fourteen million, four hundred thirty-four thousand, two hundred twenty-four".