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2440634320 = 24530507929
BaseRepresentation
bin1001000101111001…
…0001111111010000
320022002111001212201
42101132101333100
514444300244240
61042103132544
7114324022645
oct22136217720
96262431781
102440634320
111042746763
12581444154
132cb845127
141921d9dcc
15e4400d9a
hex91791fd0

2440634320 has 20 divisors (see below), whose sum is σ = 5674474980. Its totient is φ = 976253696.

The previous prime is 2440634299. The next prime is 2440634321. The reversal of 2440634320 is 234360442.

2440634320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 429649984 + 2010984336 = 20728^2 + 44844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×24406343204 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440634321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15253885 + ... + 15254044.

It is an arithmetic number, because the mean of its divisors is an integer number (283723749).

Almost surely, 22440634320 is an apocalyptic number.

2440634320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440634320 is an abundant number, since it is smaller than the sum of its proper divisors (3233840660).

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

2440634320 is a wasteful number, since it uses less digits than its factorization.

2440634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30507942 (or 30507936 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2440634320 is about 49402.7764401962. The cubic root of 2440634320 is about 1346.3797507672.

Adding to 2440634320 its reverse (234360442), we get a palindrome (2674994762).

The spelling of 2440634320 in words is "two billion, four hundred forty million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30507929 61015858 122031716 152539645 244063432 305079290 488126864 610158580 1220317160 2440634320