Search a number
-
+
14034144 = 25329712
BaseRepresentation
bin110101100010…
…010011100000
3222102000020010
4311202103200
512043043034
61220444520
7230200605
oct65422340
928360203
1014034144
117a16073
124849740
132ba4b37
141c146ac
1513733e9
hexd624e0

14034144 has 72 divisors (see below), whose sum is σ = 38654280. Its totient is φ = 4453120.

The previous prime is 14034133. The next prime is 14034149. The reversal of 14034144 is 44143041.

It is a self number, because there is not a number n which added to its sum of digits gives 14034144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197629 + ... + 197699.

It is an arithmetic number, because the mean of its divisors is an integer number (536865).

Almost surely, 214034144 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 14034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327140).

14034144 is an abundant number, since it is smaller than the sum of its proper divisors (24620136).

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

14034144 is an equidigital number, since it uses as much as digits as its factorization.

14034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 105 counting only the distinct ones).

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

The square root of 14034144 is about 3746.2172921495. The cubic root of 14034144 is about 241.2100004379.

Adding to 14034144 its reverse (44143041), we get a palindrome (58177185).

The spelling of 14034144 in words is "fourteen million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 2059 2272 2784 3408 4118 5041 6177 6816 8236 10082 12354 15123 16472 20164 24708 30246 32944 40328 49416 60492 65888 80656 98832 120984 146189 161312 197664 241968 292378 438567 483936 584756 877134 1169512 1754268 2339024 3508536 4678048 7017072 14034144