Search a number
-
+
1340719744 = 27713314779
BaseRepresentation
bin100111111101001…
…1100001010000000
310110102210121201211
41033322130022000
510221211012434
6341012135504
745136633630
oct11772341200
93412717654
101340719744
1162888a651
12315007594
131849c42c0
14ca0c06c0
157ca85464
hex4fe9c280

1340719744 has 256 divisors, whose sum is σ = 3509452800. Its totient is φ = 496005120.

The previous prime is 1340719727. The next prime is 1340719777. The reversal of 1340719744 is 4479170431.

It is a junction number, because it is equal to n+sod(n) for n = 1340719697 and 1340719706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16971097 + ... + 16971175.

It is an arithmetic number, because the mean of its divisors is an integer number (13708800).

Almost surely, 21340719744 is an apocalyptic number.

1340719744 is a gapful number since it is divisible by the number (14) 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 1340719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754726400).

1340719744 is an abundant number, since it is smaller than the sum of its proper divisors (2168733056).

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

1340719744 is a wasteful number, since it uses less digits than its factorization.

1340719744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 1340719744 is about 36615.8400695655. The cubic root of 1340719744 is about 1102.6711239014.

The spelling of 1340719744 in words is "one billion, three hundred forty million, seven hundred nineteen thousand, seven hundred forty-four".