Search a number
-
+
302005424 = 2472596529
BaseRepresentation
bin10010000000000…
…011110010110000
3210001021110120002
4102000003302300
51104303133144
645545005132
710325001200
oct2200036260
9701243502
10302005424
11145524166
12851837a8
134a750846
142c176400
151b7a814e
hex12003cb0

302005424 has 60 divisors (see below), whose sum is σ = 692310600. Its totient is φ = 127217664.

The previous prime is 302005423. The next prime is 302005427. The reversal of 302005424 is 424500203.

It is a super-2 number, since 2×3020054242 = 182414552250839552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302005396 and 302005405.

It is not an unprimeable number, because it can be changed into a prime (302005421) 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, 42992 + ... + 49520.

It is an arithmetic number, because the mean of its divisors is an integer number (11538510).

Almost surely, 2302005424 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 302005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346155300).

302005424 is an abundant number, since it is smaller than the sum of its proper divisors (390305176).

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

302005424 is a wasteful number, since it uses less digits than its factorization.

302005424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 302005424 is about 17378.3032543456. The cubic root of 302005424 is about 670.9213018015.

Adding to 302005424 its reverse (424500203), we get a palindrome (726505627).

The spelling of 302005424 in words is "three hundred two million, five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6529 6608 11564 13058 23128 26116 45703 46256 52232 91406 104464 182812 319921 365624 385211 639842 731248 770422 1279684 1540844 2559368 2696477 3081688 5118736 5392954 6163376 10785908 18875339 21571816 37750678 43143632 75501356 151002712 302005424