Search a number
-
+
304143810840 = 2332543151113003
BaseRepresentation
bin1000110110100000110…
…00100100000100011000
31002002001022020102120200
410123100120210010120
514440341303421330
6351415521222200
730654652510452
oct4332030440430
91062038212520
10304143810840
11107a94285761
124ab41191960
13228b049309c
1410a1360d2d2
157da138ea60
hex46d0624118

304143810840 has 192 divisors, whose sum is σ = 1012202231040. Its totient is φ = 79160336640.

The previous prime is 304143810823. The next prime is 304143810847. The reversal of 304143810840 is 48018341403.

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 = 304143810795 and 304143810804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304143810847) 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 47 ways as a sum of consecutive naturals, for example, 23383779 + ... + 23396781.

It is an arithmetic number, because the mean of its divisors is an integer number (5271886620).

Almost surely, 2304143810840 is an apocalyptic number.

304143810840 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 304143810840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506101115520).

304143810840 is an abundant number, since it is smaller than the sum of its proper divisors (708058420200).

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

304143810840 is a wasteful number, since it uses less digits than its factorization.

304143810840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14574 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 304143810840 in words is "three hundred four billion, one hundred forty-three million, eight hundred ten thousand, eight hundred forty".