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14425344 = 28332087
BaseRepresentation
bin110111000001…
…110100000000
31000010212212000
4313001310000
512143102334
61233104000
7233420253
oct67016400
930125760
1014425344
118162a7a
1249b8000
132cb0c0b
141cb709a
1513ee299
hexdc1d00

14425344 has 72 divisors (see below), whose sum is σ = 42678720. Its totient is φ = 4806144.

The previous prime is 14425343. The next prime is 14425349. The reversal of 14425344 is 44352441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×144253443 (a number of 22 digits) contains 333 as substring.

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 (14425343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5869 + ... + 7955.

It is an arithmetic number, because the mean of its divisors is an integer number (592760).

Almost surely, 214425344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339360).

14425344 is an abundant number, since it is smaller than the sum of its proper divisors (28253376).

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

14425344 is an equidigital number, since it uses as much as digits as its factorization.

14425344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2092 counting only the distinct ones).

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

The square root of 14425344 is about 3798.0710893821. The cubic root of 14425344 is about 243.4307251772.

Adding to 14425344 its reverse (44352441), we get a palindrome (58777785).

It can be divided in two parts, 1442 and 5344, that added together give a triangular number (6786 = T116).

The spelling of 14425344 in words is "fourteen million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2087 2304 3456 4174 6261 6912 8348 12522 16696 18783 25044 33392 37566 50088 56349 66784 75132 100176 112698 133568 150264 200352 225396 267136 300528 400704 450792 534272 601056 801408 901584 1202112 1602816 1803168 2404224 3606336 4808448 7212672 14425344