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305032332 = 2231116314177
BaseRepresentation
bin10010001011100…
…110110010001100
3210020222020200210
4102023212302030
51111042013312
650133522420
710362506043
oct2213466214
9706866623
10305032332
11147201340
12861a3410
134b270507
142c72355a
151bba4e3c
hex122e6c8c

305032332 has 48 divisors (see below), whose sum is σ = 781264512. Its totient is φ = 91860480.

The previous prime is 305032319. The next prime is 305032369. The reversal of 305032332 is 233230503.

It is a junction number, because it is equal to n+sod(n) for n = 305032299 and 305032308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14428 + ... + 28604.

It is an arithmetic number, because the mean of its divisors is an integer number (16276344).

Almost surely, 2305032332 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 305032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390632256).

305032332 is an abundant number, since it is smaller than the sum of its proper divisors (476232180).

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

305032332 is a wasteful number, since it uses less digits than its factorization.

305032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14358 (or 14356 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 305032332 is about 17465.1748345100. The cubic root of 305032332 is about 673.1553343389.

Adding to 305032332 its reverse (233230503), we get a palindrome (538262835).

The spelling of 305032332 in words is "three hundred five million, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1793 1956 3586 5379 7172 10758 14177 21516 28354 42531 56708 85062 155947 170124 311894 467841 623788 935682 1871364 2310851 4621702 6932553 9243404 13865106 25419361 27730212 50838722 76258083 101677444 152516166 305032332