Search a number
-
+
303304014 = 23413592441
BaseRepresentation
bin10010000101000…
…000110101001110
3210010201102220000
4102011000311032
51110121212024
650032505130
710342020156
oct2205006516
9703642800
10303304014
11146230882
12856ab1a6
134aab6940
142c3d3766
151b962cc9
hex12140d4e

303304014 has 80 divisors (see below), whose sum is σ = 744614640. Its totient is φ = 91704960.

The previous prime is 303303991. The next prime is 303304039. The reversal of 303304014 is 410403303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 123034 + ... + 125474.

It is an arithmetic number, because the mean of its divisors is an integer number (9307683).

Almost surely, 2303304014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303304014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372307320).

303304014 is an abundant number, since it is smaller than the sum of its proper divisors (441310626).

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

303304014 is a wasteful number, since it uses less digits than its factorization.

303304014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303304014 is about 17415.6255701597. The cubic root of 303304014 is about 671.8815559742.

Adding to 303304014 its reverse (410403303), we get a palindrome (713707317).

The spelling of 303304014 in words is "three hundred three million, three hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 162 177 234 351 354 531 702 767 1053 1062 1534 1593 2106 2301 2441 3186 4602 4779 4882 6903 7323 9558 13806 14646 20709 21969 31733 41418 43938 62127 63466 65907 95199 124254 131814 144019 190398 197721 285597 288038 395442 432057 571194 856791 864114 1296171 1713582 1872247 2570373 2592342 3744494 3888513 5140746 5616741 7777026 11233482 11665539 16850223 23331078 33700446 50550669 101101338 151652007 303304014