Search a number
-
+
2984327280 = 24335112343127
BaseRepresentation
bin1011000111100001…
…0011100001110000
321200222112112102000
42301320103201300
522102441433110
61212044254000
7133645235424
oct26170234160
97628475360
102984327280
1112a1636290
126b3541300
1338738793c
142044c6b84
15126eea1c0
hexb1e13870

2984327280 has 640 divisors, whose sum is σ = 12067799040. Its totient is φ = 670602240.

The previous prime is 2984327267. The next prime is 2984327287. The reversal of 2984327280 is 827234892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984327287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23498577 + ... + 23498703.

It is an arithmetic number, because the mean of its divisors is an integer number (18855936).

Almost surely, 22984327280 is an apocalyptic number.

2984327280 is a gapful number since it is divisible by the number (20) 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 2984327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033899520).

2984327280 is an abundant number, since it is smaller than the sum of its proper divisors (9083471760).

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

2984327280 is a wasteful number, since it uses less digits than its factorization.

2984327280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2984327280 is about 54628.9966958940. The cubic root of 2984327280 is about 1439.7336312862.

The spelling of 2984327280 in words is "two billion, nine hundred eighty-four million, three hundred twenty-seven thousand, two hundred eighty".