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2001342440 = 23550033561
BaseRepresentation
bin111011101001010…
…0000111111101000
312011110212201201002
41313102200333220
513044320424230
6530331414132
7100411062416
oct16722407750
95143781632
102001342440
11937784219
1247a2b4348
1325b8273c6
1414db282b6
15baa7a545
hex774a0fe8

2001342440 has 16 divisors (see below), whose sum is σ = 4503020580. Its totient is φ = 800536960.

The previous prime is 2001342367. The next prime is 2001342449. The reversal of 2001342440 is 442431002.

It can be written as a sum of positive squares in 2 ways, for example, as 1915112644 + 86229796 = 43762^2 + 9286^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2001342449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25016741 + ... + 25016820.

Almost surely, 22001342440 is an apocalyptic number.

2001342440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001342440 is an abundant number, since it is smaller than the sum of its proper divisors (2501678140).

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

2001342440 is a wasteful number, since it uses less digits than its factorization.

2001342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50033572 (or 50033568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2001342440 is about 44736.3659677449. The cubic root of 2001342440 is about 1260.2028815830.

Adding to 2001342440 its reverse (442431002), we get a palindrome (2443773442).

The spelling of 2001342440 in words is "two billion, one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 50033561 100067122 200134244 250167805 400268488 500335610 1000671220 2001342440