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309829696 = 2611240009
BaseRepresentation
bin10010011101111…
…010000001000000
3210120222222102221
4102131322001000
51113304022241
650424420424
710451336401
oct2235720100
9716888387
10309829696
11149988700
1287917714
134c25cca7
142d2119a8
151c3015d1
hex1277a040

309829696 has 42 divisors (see below), whose sum is σ = 675808910. Its totient is φ = 140828160.

The previous prime is 309829673. The next prime is 309829699. The reversal of 309829696 is 696928903.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 309760000 + 69696 = 17600^2 + 264^2 .

It is not an unprimeable number, because it can be changed into a prime (309829699) 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 5 ways as a sum of consecutive naturals, for example, 12261 + ... + 27748.

Almost surely, 2309829696 is an apocalyptic number.

It is an amenable number.

309829696 is an abundant number, since it is smaller than the sum of its proper divisors (365979214).

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

309829696 is a wasteful number, since it uses less digits than its factorization.

309829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40043 (or 40022 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 309829696 is about 17601.9798886375. The cubic root of 309829696 is about 676.6659869871.

The spelling of 309829696 in words is "three hundred nine million, eight hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 40009 80018 160036 320072 440099 640144 880198 1280288 1760396 2560576 3520792 4841089 7041584 9682178 14083168 19364356 28166336 38728712 77457424 154914848 309829696