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3002430240 = 2536525741
BaseRepresentation
bin1011001011110101…
…0111001100100000
321202020121021000000
42302331113030200
522122110231430
61213532300000
7134255143635
oct26275271440
97666537000
103002430240
111300880307
126b9611600
1338b055754
14206a7a18c
151288c3e60
hexb2f57320

3002430240 has 168 divisors, whose sum is σ = 10635410268. Its totient is φ = 800616960.

The previous prime is 3002430239. The next prime is 3002430247. The reversal of 3002430240 is 420342003.

3002430240 is a `hidden beast` number, since 300 + 24 + 302 + 40 = 666.

3002430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2998219536 + 4210704 = 54756^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3002430247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103770 + ... + 129510.

Almost surely, 23002430240 is an apocalyptic number.

3002430240 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 3002430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317705134).

3002430240 is an abundant number, since it is smaller than the sum of its proper divisors (7632980028).

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

3002430240 is an equidigital number, since it uses as much as digits as its factorization.

3002430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25774 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3002430240 is about 54794.4362139077. The cubic root of 3002430240 is about 1442.6389110379.

Adding to 3002430240 its reverse (420342003), we get a palindrome (3422772243).

The spelling of 3002430240 in words is "three billion, two million, four hundred thirty thousand, two hundred forty".