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1340041040 = 245135921839
BaseRepresentation
bin100111111011111…
…0110011101010000
310110101112010201122
41033313312131100
510221022303130
6340545421412
745131106122
oct11767663520
93411463648
101340041040
11628466738
1231493a868
131848173c0
14c9d85212
157c99e2e5
hex4fdf6750

1340041040 has 80 divisors (see below), whose sum is σ = 3412281600. Its totient is φ = 486375936.

The previous prime is 1340040983. The next prime is 1340041057. The reversal of 1340041040 is 401400431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50441 + ... + 72279.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 21340041040 is an apocalyptic number.

1340041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1340041040 is an abundant number, since it is smaller than the sum of its proper divisors (2072240560).

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

1340041040 is a wasteful number, since it uses less digits than its factorization.

1340041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1340041040 is about 36606.5709948364. The cubic root of 1340041040 is about 1102.4850264402.

Adding to 1340041040 its reverse (401400431), we get a palindrome (1741441471).

The spelling of 1340041040 in words is "one billion, three hundred forty million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1040 1180 1534 2360 3068 3835 4720 6136 7670 12272 15340 21839 30680 43678 61360 87356 109195 174712 218390 283907 349424 436780 567814 873560 1135628 1288501 1419535 1747120 2271256 2577002 2839070 4542512 5154004 5678140 6442505 10308008 11356280 12885010 16750513 20616016 22712560 25770020 33501026 51540040 67002052 83752565 103080080 134004104 167505130 268008208 335010260 670020520 1340041040