Search a number
-
+
307216 = 24713211
BaseRepresentation
bin1001011000000010000
3120121102101
41023000100
534312331
610330144
72416450
oct1130020
9517371
10307216
1119a8a8
12129954
13a9ab0
147dd60
1561061
hex4b010

307216 has 40 divisors (see below), whose sum is σ = 736064. Its totient is φ = 120960.

The previous prime is 307201. The next prime is 307243. The reversal of 307216 is 612703.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 307193 and 307202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 1561.

2307216 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 307216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368032).

307216 is an abundant number, since it is smaller than the sum of its proper divisors (428848).

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

307216 is a wasteful number, since it uses less digits than its factorization.

307216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 307216 is about 554.2706919908. The cubic root of 307216 is about 67.4757846381.

Adding to 307216 its reverse (612703), we get a palindrome (919919).

The spelling of 307216 in words is "three hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 211 364 422 728 844 1456 1477 1688 2743 2954 3376 5486 5908 10972 11816 19201 21944 23632 38402 43888 76804 153608 307216