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1340726816 = 251113674373
BaseRepresentation
bin100111111101001…
…1101111000100000
310110102210222102202
41033322131320200
510221211224231
6341012232332
745136663352
oct11772357040
93412728382
101340726816
116288949a0
1231500b6a8
131849c75a0
14ca0c30d2
157ca875cb
hex4fe9de20

1340726816 has 96 divisors (see below), whose sum is σ = 3148020288. Its totient is φ = 554019840.

The previous prime is 1340726789. The next prime is 1340726831. The reversal of 1340726816 is 6186270431.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1340726816.

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 15 ways as a sum of consecutive naturals, for example, 304406 + ... + 308778.

It is an arithmetic number, because the mean of its divisors is an integer number (32791878).

Almost surely, 21340726816 is an apocalyptic number.

1340726816 is a gapful number since it is divisible by the number (16) 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 1340726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574010144).

1340726816 is an abundant number, since it is smaller than the sum of its proper divisors (1807293472).

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

1340726816 is a wasteful number, since it uses less digits than its factorization.

1340726816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1340726816 is about 36615.9366396655. The cubic root of 1340726816 is about 1102.6730626801.

The spelling of 1340726816 in words is "one billion, three hundred forty million, seven hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 67 88 104 134 143 176 208 268 286 352 416 536 572 737 871 1072 1144 1474 1742 2144 2288 2948 3484 4373 4576 5896 6968 8746 9581 11792 13936 17492 19162 23584 27872 34984 38324 48103 56849 69968 76648 96206 113698 139936 153296 192412 227396 292991 306592 384824 454792 585982 625339 769648 909584 1171964 1250678 1539296 1819168 2343928 2501356 3222901 3808883 4687856 5002712 6445802 7617766 9375712 10005424 12891604 15235532 20010848 25783208 30471064 41897713 51566416 60942128 83795426 103132832 121884256 167590852 335181704 670363408 1340726816