Search a number
-
+
320430000000 = 2735711971
BaseRepresentation
bin1001010100110110001…
…11011100011110000000
31010122002022120120002210
410222123013130132000
520222220040000000
6403111542542120
732102361026505
oct4523307343600
91118068516083
10320430000000
11113991421720
1252127437940
13242a761cac6
141171a59b4ac
158506067350
hex4a9b1dc780

320430000000 has 512 divisors, whose sum is σ = 1161840775680. Its totient is φ = 77600000000.

The previous prime is 320429999999. The next prime is 320430000001. The reversal of 320430000000 is 34023.

It is an interprime number because it is at equal distance from previous prime (320429999999) and next prime (320430000001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320430000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329999515 + ... + 330000485.

It is an arithmetic number, because the mean of its divisors is an integer number (2269220265).

Almost surely, 2320430000000 is an apocalyptic number.

320430000000 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 320430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580920387840).

320430000000 is an abundant number, since it is smaller than the sum of its proper divisors (841410775680).

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

320430000000 is an frugal number, since it uses more digits than its factorization.

320430000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 320430000000 its reverse (34023), we get a palindrome (320430034023).

The spelling of 320430000000 in words is "three hundred twenty billion, four hundred thirty million", and thus it is an aban number.