Search a number
-
+
305425232 = 24723710529
BaseRepresentation
bin10010001101000…
…110101101010000
3210021201012122122
4102031012231100
51111142101412
650150153412
710366033400
oct2215065520
9707635578
10305425232
1114744a552
1286352868
134b37a2b8
142c7c6800
151bc31572
hex12346b50

305425232 has 60 divisors (see below), whose sum is σ = 707047380. Its totient is φ = 127346688.

The previous prime is 305425229. The next prime is 305425261. The reversal of 305425232 is 232524503.

It can be written as a sum of positive squares in 2 ways, for example, as 261016336 + 44408896 = 16156^2 + 6664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23744 + ... + 34272.

It is an arithmetic number, because the mean of its divisors is an integer number (11784123).

Almost surely, 2305425232 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 305425232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353523690).

305425232 is an abundant number, since it is smaller than the sum of its proper divisors (401622148).

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

305425232 is a wasteful number, since it uses less digits than its factorization.

305425232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10575 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 305425232 is about 17476.4193128913. The cubic root of 305425232 is about 673.4442318619. Note that the first 3 decimals are identical.

Adding to 305425232 its reverse (232524503), we get a palindrome (537949735).

The spelling of 305425232 in words is "three hundred five million, four hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3626 4144 7252 10529 14504 21058 29008 42116 73703 84232 147406 168464 294812 389573 515921 589624 779146 1031842 1179248 1558292 2063684 2727011 3116584 4127368 5454022 6233168 8254736 10908044 19089077 21816088 38178154 43632176 76356308 152712616 305425232