Search a number
-
+
1344823137 = 327227271347
BaseRepresentation
bin101000000101000…
…0101111101100001
310110201112002112100
41100022011331201
510223233320022
6341240121013
745216544110
oct12012057541
93421462470
101344823137
11630132589
12316466169
131857ccc48
14ca86bc77
157d0e61ac
hex50285f61

1344823137 has 48 divisors (see below), whose sum is σ = 2244483072. Its totient is φ = 760065120.

The previous prime is 1344823069. The next prime is 1344823153. The reversal of 1344823137 is 7313284431.

It is not a de Polignac number, because 1344823137 - 210 = 1344822113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1344823637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3875398 + ... + 3875744.

It is an arithmetic number, because the mean of its divisors is an integer number (46760064).

Almost surely, 21344823137 is an apocalyptic number.

It is an amenable number.

1344823137 is a deficient number, since it is larger than the sum of its proper divisors (899659935).

1344823137 is a wasteful number, since it uses less digits than its factorization.

1344823137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 855 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1344823137 is about 36671.8302924738. The cubic root of 1344823137 is about 1103.7949194717.

It can be divided in two parts, 13448 and 23137, that added together give a triangular number (36585 = T270).

The spelling of 1344823137 in words is "one billion, three hundred forty-four million, eight hundred twenty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 63 227 271 347 681 813 1041 1589 1897 2043 2429 2439 3123 4767 5691 7287 14301 17073 21861 61517 78769 94037 184551 236307 282111 430619 551383 553653 658259 708921 846333 1291857 1654149 1974777 3875571 4962447 5924331 21346399 64039197 149424793 192117591 448274379 1344823137