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1340681620 = 225972572689
BaseRepresentation
bin100111111101001…
…0010110110010100
310110102201200102211
41033322102312110
510221203302440
6341011243204
745136414525
oct11772226624
93412650384
101340681620
11628863a43
12314ba9504
131849acb45
14ca0b084c
157ca78eea
hex4fe92d94

1340681620 has 48 divisors (see below), whose sum is σ = 2856586320. Its totient is φ = 528482304.

The previous prime is 1340681609. The next prime is 1340681623. The reversal of 1340681620 is 261860431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5363856 + 1335317764 = 2316^2 + 36542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340681623) 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 15 ways as a sum of consecutive naturals, for example, 497236 + ... + 499924.

It is an arithmetic number, because the mean of its divisors is an integer number (59512215).

Almost surely, 21340681620 is an apocalyptic number.

1340681620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340681620 is an abundant number, since it is smaller than the sum of its proper divisors (1515904700).

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

1340681620 is a wasteful number, since it uses less digits than its factorization.

1340681620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1340681620 is about 36615.3194714999. The cubic root of 1340681620 is about 1102.6606721441.

The spelling of 1340681620 in words is "one billion, three hundred forty million, six hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 257 388 485 514 970 1028 1285 1940 2570 2689 5140 5378 10756 13445 24929 26890 49858 53780 99716 124645 249290 260833 498580 521666 691073 1043332 1304165 1382146 2608330 2764292 3455365 5216660 6910730 13821460 67034081 134068162 268136324 335170405 670340810 1340681620