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2842297344 = 21033223461
BaseRepresentation
bin1010100101101010…
…0000010000000000
321100002021122222000
42221122200100000
521310112003334
61150012144000
7130302062115
oct25132402000
97302248860
102842297344
111229448077
12673a68000
13363b19663
141cd6b490c
151197e2299
hexa96a0400

2842297344 has 176 divisors, whose sum is σ = 8473597440. Its totient is φ = 941137920.

The previous prime is 2842297327. The next prime is 2842297349. The reversal of 2842297344 is 4437922482.

It is a happy number.

2842297344 is a `hidden beast` number, since 2 + 84 + 229 + 7 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2842297344.

It is not an unprimeable number, because it can be changed into a prime (2842297349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6165274 + ... + 6165734.

It is an arithmetic number, because the mean of its divisors is an integer number (48145440).

Almost surely, 22842297344 is an apocalyptic number.

2842297344 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 2842297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236798720).

2842297344 is an abundant number, since it is smaller than the sum of its proper divisors (5631300096).

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

2842297344 is a wasteful number, since it uses less digits than its factorization.

2842297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 689 counting only the distinct ones).

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

The square root of 2842297344 is about 53313.2004666762. The cubic root of 2842297344 is about 1416.5214970846.

The spelling of 2842297344 in words is "two billion, eight hundred forty-two million, two hundred ninety-seven thousand, three hundred forty-four".