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2002000340 = 225223448879
BaseRepresentation
bin111011101010100…
…0001100111010100
312011112010011011202
41313111001213110
513100003002330
6530353452032
7100416502454
oct16725014724
95145104152
102002000340
1193809353a
1247a571018
1325b9c79b2
1414dc59d64
15bab5a445
hex775419d4

2002000340 has 24 divisors (see below), whose sum is σ = 4223063040. Its totient is φ = 797207328.

The previous prime is 2002000337. The next prime is 2002000349. The reversal of 2002000340 is 430002002.

It is a super-2 number, since 2×20020003402 = 8016010722720231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219980 + ... + 228899.

It is an arithmetic number, because the mean of its divisors is an integer number (175960960).

Almost surely, 22002000340 is an apocalyptic number.

2002000340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000340 is an abundant number, since it is smaller than the sum of its proper divisors (2221062700).

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

2002000340 is a wasteful number, since it uses less digits than its factorization.

2002000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449111 (or 449109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2002000340 is about 44743.7184418104. The cubic root of 2002000340 is about 1260.3409550126.

Adding to 2002000340 its reverse (430002002), we get a palindrome (2432002342).

The spelling of 2002000340 in words is "two billion, two million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 223 446 892 1115 2230 4460 448879 897758 1795516 2244395 4488790 8977580 100100017 200200034 400400068 500500085 1001000170 2002000340