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2008007340 = 223533466789
BaseRepresentation
bin111011110101111…
…1100001010101100
312011221102100020020
41313223330022230
513103022213330
6531130322140
7100521531543
oct16753741254
95157370206
102008007340
119405166a9
12480589350
1326001bc31
1415098115a
15bb445210
hex77afc2ac

2008007340 has 24 divisors (see below), whose sum is σ = 5622420720. Its totient is φ = 535468608.

The previous prime is 2008007327. The next prime is 2008007347. The reversal of 2008007340 is 437008002.

It is a self number, because there is not a number n which added to its sum of digits gives 2008007340.

It is not an unprimeable number, because it can be changed into a prime (2008007347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16733335 + ... + 16733454.

It is an arithmetic number, because the mean of its divisors is an integer number (234267530).

Almost surely, 22008007340 is an apocalyptic number.

2008007340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008007340 is an abundant number, since it is smaller than the sum of its proper divisors (3614413380).

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

2008007340 is a wasteful number, since it uses less digits than its factorization.

2008007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33466801 (or 33466799 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2008007340 is about 44810.7949047994. The cubic root of 2008007340 is about 1261.6002469377.

The spelling of 2008007340 in words is "two billion, eight million, seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 33466789 66933578 100400367 133867156 167333945 200800734 334667890 401601468 502001835 669335780 1004003670 2008007340