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305235424 = 25133123669
BaseRepresentation
bin10010001100011…
…000010111100000
3210021100120021201
4102030120113200
51111120013144
650142130544
710364313124
oct2214302740
9707316251
10305235424
1114732a98a
1286280a54
134b311aa0
142c777584
151bbe51d4
hex123185e0

305235424 has 48 divisors (see below), whose sum is σ = 668062080. Its totient is φ = 136327680.

The previous prime is 305235421. The next prime is 305235449. The reversal of 305235424 is 424532503.

It is a junction number, because it is equal to n+sod(n) for n = 305235392 and 305235401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305235421) 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 7 ways as a sum of consecutive naturals, for example, 1062 + ... + 24730.

It is an arithmetic number, because the mean of its divisors is an integer number (13917960).

Almost surely, 2305235424 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 305235424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334031040).

305235424 is an abundant number, since it is smaller than the sum of its proper divisors (362826656).

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

305235424 is a wasteful number, since it uses less digits than its factorization.

305235424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23723 (or 23715 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 305235424 is about 17470.9880659338. The cubic root of 305235424 is about 673.3046978858.

Adding to 305235424 its reverse (424532503), we get a palindrome (729767927).

The spelling of 305235424 in words is "three hundred five million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 23669 47338 94676 189352 307697 378704 615394 733739 757408 1230788 1467478 2461576 2934956 4923152 5869912 9538607 9846304 11739824 19077214 23479648 38154428 76308856 152617712 305235424