Search a number
-
+
3314300 = 22521123131
BaseRepresentation
bin1100101001001001111100
320020101100212
430221021330
51322024200
6155011552
740112453
oct14511174
96211325
103314300
1119640a0
121139bb8
138c0732
14623b9a
15457035
hex32927c

3314300 has 72 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1144000.

The previous prime is 3314281. The next prime is 3314309. The reversal of 3314300 is 34133.

It is a happy number.

3314300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25235 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 23314300 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 3314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3314300 is an abundant number, since it is smaller than the sum of its proper divisors (4935172).

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

3314300 is a wasteful number, since it uses less digits than its factorization.

3314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3314300 is about 1820.5219031915. The cubic root of 3314300 is about 149.0952951047.

Adding to 3314300 its reverse (34133), we get a palindrome (3348433).

The spelling of 3314300 in words is "three million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 131 220 230 253 262 275 460 506 524 550 575 655 1012 1100 1150 1265 1310 1441 2300 2530 2620 2882 3013 3275 5060 5764 6026 6325 6550 7205 12052 12650 13100 14410 15065 25300 28820 30130 33143 36025 60260 66286 72050 75325 132572 144100 150650 165715 301300 331430 662860 828575 1657150 3314300