Search a number
-
+
1340004435 = 357114128297
BaseRepresentation
bin100111111011110…
…1101100001010011
310110101110021111220
41033313231201103
510221020120220
6340544540123
745130564320
oct11767554123
93411407456
101340004435
11628441190
12314921643
13184803843
14c9d75b47
157c993540
hex4fded853

1340004435 has 64 divisors (see below), whose sum is σ = 2738340864. Its totient is φ = 543283200.

The previous prime is 1340004433. The next prime is 1340004439. The reversal of 1340004435 is 5344000431.

It is not a de Polignac number, because 1340004435 - 21 = 1340004433 is a prime.

It is a super-2 number, since 2×13400044352 = 3591223771639338450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340004433) 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 63 ways as a sum of consecutive naturals, for example, 33207 + ... + 61503.

It is an arithmetic number, because the mean of its divisors is an integer number (42786576).

Almost surely, 21340004435 is an apocalyptic number.

1340004435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1340004435 is an abundant number, since it is smaller than the sum of its proper divisors (1398336429).

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

1340004435 is a wasteful number, since it uses less digits than its factorization.

1340004435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28364.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1340004435 is about 36606.0710128798. The cubic root of 1340004435 is about 1102.4749877348.

Adding to 1340004435 its reverse (5344000431), we get a palindrome (6684004866).

The spelling of 1340004435 in words is "one billion, three hundred forty million, four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 385 451 615 861 1155 1353 1435 2255 3157 4305 6765 9471 15785 28297 47355 84891 141485 198079 311267 424455 594237 933801 990395 1160177 1556335 2178869 2971185 3480531 4669005 5800885 6536607 8121239 10894345 12761947 17402655 24363717 32683035 38285841 40606195 63809735 89333629 121818585 191429205 268000887 446668145 1340004435