Search a number
-
+
302430024 = 2336133989
BaseRepresentation
bin10010000001101…
…011011101001000
3210002002001000000
4102001223131020
51104410230044
650002043000
710331420121
oct2201533510
9702061000
10302430024
11145794176
1285349460
134a86bba0
142c247048
151b83dd69
hex1206b748

302430024 has 112 divisors (see below), whose sum is σ = 915824700. Its totient is φ = 93032064.

The previous prime is 302430019. The next prime is 302430041. The reversal of 302430024 is 420034203.

It can be written as a sum of positive squares in 2 ways, for example, as 289340100 + 13089924 = 17010^2 + 3618^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 302429979 and 302430006.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73822 + ... + 77810.

Almost surely, 2302430024 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 302430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457912350).

302430024 is an abundant number, since it is smaller than the sum of its proper divisors (613394676).

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

302430024 is a wasteful number, since it uses less digits than its factorization.

302430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 302430024 is about 17390.5153460155. The cubic root of 302430024 is about 671.2355784798.

Adding to 302430024 its reverse (420034203), we get a palindrome (722464227).

The spelling of 302430024 in words is "three hundred two million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 3989 4212 5832 6318 7978 8424 9477 11967 12636 15956 18954 23934 25272 31912 35901 37908 47868 51857 71802 75816 95736 103714 107703 143604 155571 207428 215406 287208 311142 323109 414856 430812 466713 622284 646218 861624 933426 969327 1244568 1292436 1400139 1866852 1938654 2584872 2800278 2907981 3733704 3877308 4200417 5600556 5815962 7754616 8400834 11201112 11631924 12601251 16801668 23263848 25202502 33603336 37803753 50405004 75607506 100810008 151215012 302430024