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306434331 = 32712793803
BaseRepresentation
bin10010010000111…
…101000100011011
3210100121110212200
4102100331010123
51111421344311
650223541243
710410435360
oct2220750433
9710543780
10306434331
11147a79715
128675a823
134b6416b8
142c9aa467
151bd80556
hex1243d11b

306434331 has 24 divisors (see below), whose sum is σ = 506388480. Its totient is φ = 174922416.

The previous prime is 306434311. The next prime is 306434347. The reversal of 306434331 is 133434603.

It is not a de Polignac number, because 306434331 - 29 = 306433819 is a prime.

It is a super-2 number, since 2×3064343312 = 187803998430835122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 306434295 and 306434304.

It is not an unprimeable number, because it can be changed into a prime (306434311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78676 + ... + 82478.

It is an arithmetic number, because the mean of its divisors is an integer number (21099520).

Almost surely, 2306434331 is an apocalyptic number.

306434331 is a deficient number, since it is larger than the sum of its proper divisors (199954149).

306434331 is a wasteful number, since it uses less digits than its factorization.

306434331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 306434331 is about 17505.2658077505. The cubic root of 306434331 is about 674.1850840516.

Adding to 306434331 its reverse (133434603), we get a palindrome (439868934).

The spelling of 306434331 in words is "three hundred six million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 1279 3803 3837 8953 11409 11511 26621 26859 34227 79863 80577 239589 4864037 14592111 34048259 43776333 102144777 306434331