Search a number
-
+
306271472 = 24136721977
BaseRepresentation
bin10010010000010…
…101010011110000
3210100022012110212
4102100111103300
51111401141342
650220243252
710406156513
oct2220252360
9710265425
10306271472
11147978321
12866a0528
134b5b5530
142c966d7a
151bd4c182
hex124154f0

306271472 has 40 divisors (see below), whose sum is σ = 648614736. Its totient is φ = 139239936.

The previous prime is 306271457. The next prime is 306271481. The reversal of 306271472 is 274172603.

306271472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3062714722 = 187604429122093568, which contains 22 as substring.

It is a congruent number.

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, 2948 + ... + 24924.

Almost surely, 2306271472 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 306271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324307368).

306271472 is an abundant number, since it is smaller than the sum of its proper divisors (342343264).

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

306271472 is a wasteful number, since it uses less digits than its factorization.

306271472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065 (or 22059 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 306271472 is about 17500.6134749614. The cubic root of 306271472 is about 674.0656277175.

The spelling of 306271472 in words is "three hundred six million, two hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1742 3484 6968 13936 21977 43954 87908 175816 285701 351632 571402 1142804 1472459 2285608 2944918 4571216 5889836 11779672 19141967 23559344 38283934 76567868 153135736 306271472