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2723482944 = 2632713223233
BaseRepresentation
bin1010001001010101…
…0000110101000000
321000210201021020200
42202111100311000
521034202423234
61130125405200
7124330136340
oct24225206500
97023637220
102723482944
111178376056
12640109800
13345319290
141bb9c6d20
1510e172d99
hexa2550d40

2723482944 has 336 divisors, whose sum is σ = 9692347392. Its totient is φ = 711991296.

The previous prime is 2723482913. The next prime is 2723482981. The reversal of 2723482944 is 4492843272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 2723482944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11688652 + ... + 11688884.

It is an arithmetic number, because the mean of its divisors is an integer number (28846272).

Almost surely, 22723482944 is an apocalyptic number.

2723482944 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 2723482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846173696).

2723482944 is an abundant number, since it is smaller than the sum of its proper divisors (6968864448).

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

2723482944 is a wasteful number, since it uses less digits than its factorization.

2723482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

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

The square root of 2723482944 is about 52186.9997604767. Note that the first 3 decimals coincide. The cubic root of 2723482944 is about 1396.5019718980.

The spelling of 2723482944 in words is "two billion, seven hundred twenty-three million, four hundred eighty-two thousand, nine hundred forty-four".