Search a number
-
+
308640020 = 225131577561
BaseRepresentation
bin10010011001010…
…111100100010100
3210111202112111212
4102121113210110
51113002440040
650343120552
710435253063
oct2231274424
9714675455
10308640020
111492458a7
1287443158
134bc34640
142cdc21da
151c168d65
hex12657914

308640020 has 48 divisors (see below), whose sum is σ = 702540048. Its totient is φ = 113218560.

The previous prime is 308640001. The next prime is 308640029. The reversal of 308640020 is 20046803.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73753744 + 234886276 = 8588^2 + 15326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308640029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37040 + ... + 44600.

It is an arithmetic number, because the mean of its divisors is an integer number (14636251).

Almost surely, 2308640020 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 308640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351270024).

308640020 is an abundant number, since it is smaller than the sum of its proper divisors (393900028).

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

308640020 is a wasteful number, since it uses less digits than its factorization.

308640020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 308640020 is about 17568.1535740100. The cubic root of 308640020 is about 675.7987946175.

Adding to 308640020 its reverse (20046803), we get a palindrome (328686823).

The spelling of 308640020 in words is "three hundred eight million, six hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 7561 8164 10205 15122 20410 30244 37805 40820 75610 98293 151220 196586 393172 491465 982930 1187077 1965860 2374154 4748308 5935385 11870770 15432001 23741540 30864002 61728004 77160005 154320010 308640020