Search a number
-
+
304040344200 = 2335223293720533
BaseRepresentation
bin1000110110010100011…
…01110111101010001000
31002001210002112210000220
410123022031313222020
514440133312003300
6351401343430040
730652255166445
oct4331215675210
91061702483026
10304040344200
11107a4093673a
124ab125b5320
1322894c07718
1410a039989cc
157d97252da0
hex46ca377a88

304040344200 has 384 divisors, whose sum is σ = 1044967046400. Its totient is φ = 72850821120.

The previous prime is 304040344189. The next prime is 304040344301. The reversal of 304040344200 is 2443040403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14797134 + ... + 14817666.

It is an arithmetic number, because the mean of its divisors is an integer number (2721268350).

Almost surely, 2304040344200 is an apocalyptic number.

304040344200 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 304040344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522483523200).

304040344200 is an abundant number, since it is smaller than the sum of its proper divisors (740926702200).

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

304040344200 is a wasteful number, since it uses less digits than its factorization.

304040344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20641 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 304040344200 its reverse (2443040403), we get a palindrome (306483384603).

The spelling of 304040344200 in words is "three hundred four billion, forty million, three hundred forty-four thousand, two hundred".