Search a number
-
+
308456640 = 26335191879
BaseRepresentation
bin10010011000101…
…010110011000000
3210111102012222000
4102120222303000
51112431103030
650335144000
710433560332
oct2230526300
9714365860
10308456640
11149130048
1287375000
134bb9c02b
142cd75452
151c12e860
hex1262acc0

308456640 has 224 divisors, whose sum is σ = 1146048000. Its totient is φ = 77884416.

The previous prime is 308456627. The next prime is 308456641. The reversal of 308456640 is 46654803.

308456640 is a `hidden beast` number, since 3 + 0 + 8 + 4 + 5 + 6 + 640 = 666.

308456640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 308456595 and 308456604.

It is not an unprimeable number, because it can be changed into a prime (308456641) 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 31 ways as a sum of consecutive naturals, for example, 163221 + ... + 165099.

Almost surely, 2308456640 is an apocalyptic number.

308456640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573024000).

308456640 is an abundant number, since it is smaller than the sum of its proper divisors (837591360).

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

308456640 is a wasteful number, since it uses less digits than its factorization.

308456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 308456640 is about 17562.9336957127. The cubic root of 308456640 is about 675.6649250314.

The spelling of 308456640 in words is "three hundred eight million, four hundred fifty-six thousand, six hundred forty".