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2982324744 = 2334731127167
BaseRepresentation
bin1011000111000010…
…1010101000001000
321200211202210110000
42301300222220020
522101433342434
61211533323000
7133622225220
oct26160525010
97624683400
102982324744
1112a04987a3
126b2936460
13386b362c9
14204125080
15126c51b99
hexb1c2aa08

2982324744 has 320 divisors, whose sum is σ = 9991618560. Its totient is φ = 813214080.

The previous prime is 2982324731. The next prime is 2982324749. The reversal of 2982324744 is 4474232892.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2982324744.

It is not an unprimeable number, because it can be changed into a prime (2982324749) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17858149 + ... + 17858315.

It is an arithmetic number, because the mean of its divisors is an integer number (31223808).

Almost surely, 22982324744 is an apocalyptic number.

2982324744 is a gapful number since it is divisible by the number (24) 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 2982324744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995809280).

2982324744 is an abundant number, since it is smaller than the sum of its proper divisors (7009293816).

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

2982324744 is a wasteful number, since it uses less digits than its factorization.

2982324744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2982324744 is about 54610.6651122288. The cubic root of 2982324744 is about 1439.4115303824.

The spelling of 2982324744 in words is "two billion, nine hundred eighty-two million, three hundred twenty-four thousand, seven hundred forty-four".