Search a number
-
+
6842344320 = 27335728081
BaseRepresentation
bin1100101111101010…
…11110001110000000
3122122212002002212000
412113311132032000
5103003120004240
63050543104000
7331362652500
oct62765361600
918585062760
106842344320
1129a1363619
1213ab5a2000
13850756566
1448ca3ba00
152a0a76430
hex197d5e380

6842344320 has 384 divisors, whose sum is σ = 28193248800. Its totient is φ = 1563770880.

The previous prime is 6842344307. The next prime is 6842344321. The reversal of 6842344320 is 234432486.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842344321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842680 + ... + 850760.

Almost surely, 26842344320 is an apocalyptic number.

6842344320 is a gapful number since it is divisible by the number (60) 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 6842344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096624400).

6842344320 is an abundant number, since it is smaller than the sum of its proper divisors (21350904480).

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

6842344320 is a wasteful number, since it uses less digits than its factorization.

6842344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6842344320 is about 82718.4642023775. The cubic root of 6842344320 is about 1898.4608328850.

The spelling of 6842344320 in words is "six billion, eight hundred forty-two million, three hundred forty-four thousand, three hundred twenty".