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305738941 = 894577517
BaseRepresentation
bin10010001110010…
…011010010111101
3210022022010222111
4102032103102331
51111232121231
650201014021
710401511114
oct2216232275
9708263874
10305738941
11147644212
1286484311
134b45a021
142c868c7b
151bc944b1
hex123934bd

305738941 has 8 divisors (see below), whose sum is σ = 309891960. Its totient is φ = 301602048.

The previous prime is 305738933. The next prime is 305738969. The reversal of 305738941 is 149837503.

It can be written as a sum of positive squares in 4 ways, for example, as 125910841 + 179828100 = 11221^2 + 13410^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 305738941 - 23 = 305738933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305738894 and 305738903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305748941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36915 + ... + 44431.

It is an arithmetic number, because the mean of its divisors is an integer number (38736495).

Almost surely, 2305738941 is an apocalyptic number.

It is an amenable number.

305738941 is a deficient number, since it is larger than the sum of its proper divisors (4153019).

305738941 is an equidigital number, since it uses as much as digits as its factorization.

305738941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 305738941 is about 17485.3922175054. The cubic root of 305738941 is about 673.6747227795.

The spelling of 305738941 in words is "three hundred five million, seven hundred thirty-eight thousand, nine hundred forty-one".

Divisors: 1 89 457 7517 40673 669013 3435269 305738941