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2001334640 = 24541610163
BaseRepresentation
bin111011101001001…
…1111000101110000
312011110212100000012
41313102133011300
513044320202030
6530331314052
7100411030604
oct16722370560
95143770005
102001334640
11937779378
1247a2ab928
1325b8239a6
1414db25504
15baa78095
hex7749f170

2001334640 has 40 divisors (see below), whose sum is σ = 4766601168. Its totient is φ = 781007360.

The previous prime is 2001334637. The next prime is 2001334663. The reversal of 2001334640 is 464331002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 301802 + ... + 308361.

Almost surely, 22001334640 is an apocalyptic number.

2001334640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001334640 is an abundant number, since it is smaller than the sum of its proper divisors (2765266528).

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

2001334640 is a wasteful number, since it uses less digits than its factorization.

2001334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610217 (or 610211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2001334640 is about 44736.2787902615. The cubic root of 2001334640 is about 1260.2012444160.

Adding to 2001334640 its reverse (464331002), we get a palindrome (2465665642).

The spelling of 2001334640 in words is "two billion, one million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 610163 1220326 2440652 3050815 4881304 6101630 9762608 12203260 24406520 25016683 48813040 50033366 100066732 125083415 200133464 250166830 400266928 500333660 1000667320 2001334640