Search a number
-
+
1339340409 = 3211211092
BaseRepresentation
bin100111111010100…
…1011011001111001
310110100012112122100
41033311023121321
510220332343114
6340522414013
745122130351
oct11765133171
93410175570
101339340409
11628028300
12314661309
13184630524
14c9c41b61
157c8b1909
hex4fd4b679

1339340409 has 27 divisors (see below), whose sum is σ = 2128383439. Its totient is φ = 810989520.

The previous prime is 1339340383. The next prime is 1339340413. The reversal of 1339340409 is 9040439331.

The square root of 1339340409 is 36597.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21650409 + 1317690000 = 4653^2 + 36300^2 .

It is not a de Polignac number, because 1339340409 - 25 = 1339340377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1339347409) 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 26 ways as a sum of consecutive naturals, for example, 1207147 + ... + 1208255.

Almost surely, 21339340409 is an apocalyptic number.

1339340409 is the 36597-th square number.

1339340409 is the 18299-th centered octagonal number.

It is an amenable number.

1339340409 is a deficient number, since it is larger than the sum of its proper divisors (789043030).

1339340409 is an equidigital number, since it uses as much as digits as its factorization.

1339340409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 1339340409 is about 1102.2928507721.

Multiplying 1339340409 by its sum of digits (36), we get a square (48216254724 = 2195822).

The spelling of 1339340409 in words is "one billion, three hundred thirty-nine million, three hundred forty thousand, four hundred nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1109 3327 9981 12199 36597 109791 134189 402567 1207701 1229881 3689643 11068929 13528691 40586073 121758219 148815601 446446803 1339340409