Search a number
-
+
343000000000 = 295973
BaseRepresentation
bin1001111110111000110…
…01001010011000000000
31012210100021000100120201
410333130121022120000
521104431000000000
6421323320214544
733531600616000
oct4773431123000
91183307010521
10343000000000
11122513615789
125658600a454
13264635956a8
141285bd16000
158dc773996a
hex4fdc64a600

343000000000 has 400 divisors, whose sum is σ = 999023335200. Its totient is φ = 117600000000.

The previous prime is 342999999997. The next prime is 343000000073. The reversal of 343000000000 is 343.

The cubic root of 343000000000 is 7000.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 48999999997 + ... + 49000000003.

It is an arithmetic number, because the mean of its divisors is an integer number (2497558338).

Almost surely, 2343000000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499511667600).

343000000000 is an abundant number, since it is smaller than the sum of its proper divisors (656023335200).

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

343000000000 is an frugal number, since it uses more digits than its factorization.

343000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 343000000000 its reverse (343), we get a palindrome (343000000343).

Multiplying 343000000000 by its reverse (343), we get a cube (117649000000000 = 490003).

343000000000 divided by its reverse (343) gives a 9-th power (1000000000 = 109).

The spelling of 343000000000 in words is "three hundred forty-three billion", and thus it is an aban number.