Search a number
-
+
304017423840 = 2532513113143719
BaseRepresentation
bin1000110110010001101…
…10011011110111100000
31002001201111102022012200
410123020312123313200
514440111430030330
6351355204253200
730651556315314
oct4331066336740
91061644368180
10304017423840
11107a29a01299
124ab069a1200
1322890240c90
1410a0090db44
157d95226a60
hex46c8d9bde0

304017423840 has 288 divisors, whose sum is σ = 1127159167680. Its totient is φ = 74172284928.

The previous prime is 304017423839. The next prime is 304017423883. The reversal of 304017423840 is 48324710403.

304017423840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 304017423795 and 304017423804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043501 + ... + 2187219.

It is an arithmetic number, because the mean of its divisors is an integer number (3913747110).

Almost surely, 2304017423840 is an apocalyptic number.

304017423840 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 304017423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563579583840).

304017423840 is an abundant number, since it is smaller than the sum of its proper divisors (823141743840).

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

304017423840 is a wasteful number, since it uses less digits than its factorization.

304017423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143866 (or 143855 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 304017423840 in words is "three hundred four billion, seventeen million, four hundred twenty-three thousand, eight hundred forty".