Search a number
-
+
1348705743 = 372118091031
BaseRepresentation
bin101000001100011…
…1001110111001111
310110222211100110120
41100120321313033
510230232040433
6341455240023
745264544500
oct12030716717
93428740416
101348705743
11632344650
12317819013
1318655c248
14cb19cba7
157d6117b3
hex50639dcf

1348705743 has 48 divisors (see below), whose sum is σ = 2287077120. Its totient is φ = 699081600.

The previous prime is 1348705711. The next prime is 1348705769. The reversal of 1348705743 is 3475078431.

It is not a de Polignac number, because 1348705743 - 25 = 1348705711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1348705695 and 1348705704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348705703) 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 47 ways as a sum of consecutive naturals, for example, 1307638 + ... + 1308668.

It is an arithmetic number, because the mean of its divisors is an integer number (47647440).

Almost surely, 21348705743 is an apocalyptic number.

1348705743 is a deficient number, since it is larger than the sum of its proper divisors (938371377).

1348705743 is a wasteful number, since it uses less digits than its factorization.

1348705743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 1348705743 is about 36724.7293114599. The cubic root of 1348705743 is about 1104.8561452883.

The spelling of 1348705743 in words is "one billion, three hundred forty-eight million, seven hundred five thousand, seven hundred forty-three".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 809 1031 1617 2427 3093 5663 7217 8899 11341 16989 21651 26697 34023 39641 50519 62293 79387 118923 151557 186879 238161 436051 555709 834079 1308153 1667127 2502237 5838553 9174869 17515659 27524607 40869871 64224083 122609613 192672249 449568581 1348705743