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14444300 = 22521341271
BaseRepresentation
bin110111000110…
…011100001100
31000011211212002
4313012130030
512144204200
61233331432
7233526443
oct67063414
930154762
1014444300
118176242
124a06b78
132cb9730
141cbdd5a
151404bd5
hexdc670c

14444300 has 72 divisors (see below), whose sum is σ = 34706112. Its totient is φ = 5184000.

The previous prime is 14444279. The next prime is 14444303. The reversal of 14444300 is 344441.

14444300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14444303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53165 + ... + 53435.

Almost surely, 214444300 is an apocalyptic number.

14444300 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 14444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353056).

14444300 is an abundant number, since it is smaller than the sum of its proper divisors (20261812).

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

14444300 is a wasteful number, since it uses less digits than its factorization.

14444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

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

The square root of 14444300 is about 3800.5657473592. The cubic root of 14444300 is about 243.5373073390.

Adding to 14444300 its reverse (344441), we get a palindrome (14788741).

It can be divided in two parts, 144 and 44300, that added together give a palindrome (44444).

The spelling of 14444300 in words is "fourteen million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 271 325 410 533 542 650 820 1025 1066 1084 1300 1355 2050 2132 2665 2710 3523 4100 5330 5420 6775 7046 10660 11111 13325 13550 14092 17615 22222 26650 27100 35230 44444 53300 55555 70460 88075 111110 144443 176150 222220 277775 288886 352300 555550 577772 722215 1111100 1444430 2888860 3611075 7222150 14444300