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14340144 = 243731367
BaseRepresentation
bin110110101101…
…000000110000
3222222112222110
4312231000300
512132341034
61231205320
7232614000
oct66550060
928875873
1014340144
118104a65
124976840
132c811c0
141c94000
1513d3de9

14340144 has 160 divisors (see below), whose sum is σ = 47219200. Its totient is φ = 3725568.

The previous prime is 14340133. The next prime is 14340167. The reversal of 14340144 is 44104341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 14340144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213999 + ... + 214065.

It is an arithmetic number, because the mean of its divisors is an integer number (295120).

Almost surely, 214340144 is an apocalyptic number.

14340144 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 14340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609600).

14340144 is an abundant number, since it is smaller than the sum of its proper divisors (32879056).

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

14340144 is a wasteful number, since it uses less digits than its factorization.

14340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14340144 is about 3786.8382590230. The cubic root of 14340144 is about 242.9505225350.

Adding to 14340144 its reverse (44104341), we get a palindrome (58444485).

The spelling of 14340144 in words is "fourteen million, three hundred forty thousand, one hundred forty-four".