Search a number
-
+
14806344 = 2337312843
BaseRepresentation
bin111000011110…
…110101001000
31000212020111010
4320132311020
512242300334
61245203520
7236565120
oct70366510
930766433
1014806344
1183a3253
124b605a0
1330b5467
141d75c80
1514770e9
hexe1ed48

14806344 has 64 divisors (see below), whose sum is σ = 43683840. Its totient is φ = 4092480.

The previous prime is 14806321. The next prime is 14806349. The reversal of 14806344 is 44360841.

14806344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14806349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787 + ... + 6629.

It is an arithmetic number, because the mean of its divisors is an integer number (682560).

Almost surely, 214806344 is an apocalyptic number.

14806344 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 14806344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841920).

14806344 is an abundant number, since it is smaller than the sum of its proper divisors (28877496).

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

14806344 is a wasteful number, since it uses less digits than its factorization.

14806344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14806344 is about 3847.9012461341. The cubic root of 14806344 is about 245.5552808619. Note that the first 3 decimals are identical.

The spelling of 14806344 in words is "fourteen million, eight hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 2843 5208 5686 8529 11372 17058 19901 22744 34116 39802 59703 68232 79604 88133 119406 159208 176266 238812 264399 352532 477624 528798 616931 705064 1057596 1233862 1850793 2115192 2467724 3701586 4935448 7403172 14806344