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2440325640 = 23352953101131
BaseRepresentation
bin1001000101110100…
…0110101000001000
320022001220101110010
42101131012220020
514444210410030
61042052351520
7114321266004
oct22135065010
96261811403
102440325640
111042555855
125813155a0
132cb76778c
14192159704
15e438e6b0
hex91746a08

2440325640 has 256 divisors, whose sum is σ = 7852204800. Its totient is φ = 605696000.

The previous prime is 2440325581. The next prime is 2440325651. The reversal of 2440325640 is 465230442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2440325598 and 2440325607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18628375 + ... + 18628505.

It is an arithmetic number, because the mean of its divisors is an integer number (30672675).

Almost surely, 22440325640 is an apocalyptic number.

2440325640 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 2440325640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926102400).

2440325640 is an abundant number, since it is smaller than the sum of its proper divisors (5411879160).

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

2440325640 is a wasteful number, since it uses less digits than its factorization.

2440325640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2440325640 is about 49399.6522254965. The cubic root of 2440325640 is about 1346.3229871053.

The spelling of 2440325640 in words is "two billion, four hundred forty million, three hundred twenty-five thousand, six hundred forty".