Search a number
-
+
1340213544 = 2332531572237
BaseRepresentation
bin100111111100010…
…0000100100101000
310110101211220100200
41033320200210220
510221043313134
6340553232200
745132425055
oct11770404450
93411756320
101340213544
116285742aa
12314a02660
13184877a87
14c9dcc02c
157c9d5499
hex4fe20928

1340213544 has 96 divisors (see below), whose sum is σ = 3723450120. Its totient is φ = 435322368.

The previous prime is 1340213419. The next prime is 1340213549. The reversal of 1340213544 is 4453120431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1272348900 + 67864644 = 35670^2 + 8238^2 .

It is not an unprimeable number, because it can be changed into a prime (1340213549) 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 23 ways as a sum of consecutive naturals, for example, 597994 + ... + 600230.

Almost surely, 21340213544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340213544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861725060).

1340213544 is an abundant number, since it is smaller than the sum of its proper divisors (2383236576).

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

1340213544 is a wasteful number, since it uses less digits than its factorization.

1340213544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1340213544 is about 36608.9271080156. The cubic root of 1340213544 is about 1102.5323321846.

Adding to 1340213544 its reverse (4453120431), we get a palindrome (5793333975).

The spelling of 1340213544 in words is "one billion, three hundred forty million, two hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 157 159 212 314 318 424 471 477 628 636 942 954 1256 1272 1413 1884 1908 2237 2826 3768 3816 4474 5652 6711 8321 8948 11304 13422 16642 17896 20133 24963 26844 33284 40266 49926 53688 66568 74889 80532 99852 118561 149778 161064 199704 237122 299556 351209 355683 474244 599112 702418 711366 948488 1053627 1067049 1404836 1422732 2107254 2134098 2809672 2845464 3160881 4214508 4268196 6321762 8429016 8536392 12643524 18614077 25287048 37228154 55842231 74456308 111684462 148912616 167526693 223368924 335053386 446737848 670106772 1340213544