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306412064 = 2571737907
BaseRepresentation
bin10010010000110…
…111101000100000
3210100120100022222
4102100313220200
51111420141224
650223250212
710410313430
oct2220675040
9710510288
10306412064
11147a63a12
1286749968
134b63451a
142c9a22c0
151bd78b5e
hex12437a20

306412064 has 48 divisors (see below), whose sum is σ = 693499968. Its totient is φ = 130543872.

The previous prime is 306412019. The next prime is 306412079. The reversal of 306412064 is 460214603.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34799 + ... + 42705.

It is an arithmetic number, because the mean of its divisors is an integer number (14447916).

Almost surely, 2306412064 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 306412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346749984).

306412064 is an abundant number, since it is smaller than the sum of its proper divisors (387087904).

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

306412064 is a wasteful number, since it uses less digits than its factorization.

306412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 306412064 is about 17504.6297875733. The cubic root of 306412064 is about 674.1687538068.

Adding to 306412064 its reverse (460214603), we get a palindrome (766626667).

The spelling of 306412064 in words is "three hundred six million, four hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1211 1384 2422 2768 4844 5536 7907 9688 15814 19376 31628 38752 55349 63256 110698 126512 221396 253024 442792 885584 1367911 1771168 2735822 5471644 9575377 10943288 19150754 21886576 38301508 43773152 76603016 153206032 306412064