Search a number
-
+
306027040 = 25511317179
BaseRepresentation
bin10010001111011…
…001101000100000
3210022211210011211
4102033121220200
51111320331130
650211115504
710404121054
oct2217315040
9708753154
10306027040
11147820710
12865a2b94
134b52b1b7
142c901c64
151bceea2a
hex123d9a20

306027040 has 192 divisors, whose sum is σ = 836075520. Its totient is φ = 104832000.

The previous prime is 306026971. The next prime is 306027049. The reversal of 306027040 is 40720603.

It is a super-2 number, since 2×3060270402 = 187305098422323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (306027049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3873721 + ... + 3873799.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2306027040 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 306027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

306027040 is an abundant number, since it is smaller than the sum of its proper divisors (530048480).

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

306027040 is a wasteful number, since it uses less digits than its factorization.

306027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 306027040 is about 17493.6285544195. The cubic root of 306027040 is about 673.8862584586.

Adding to 306027040 its reverse (40720603), we get a palindrome (346747643).

The spelling of 306027040 in words is "three hundred six million, twenty-seven thousand, forty".