Search a number
-
+
1344334431 = 311376716433
BaseRepresentation
bin101000000100000…
…1110101001011111
310110200121021011010
41100020032221133
510223122200211
6341221430303
745212440236
oct12010165137
93420537133
101344334431
1162a9293a0
1231626b393
1318568b67b
14ca781b1d
157d04b4a6
hex5020ea5f

1344334431 has 32 divisors (see below), whose sum is σ = 2038341888. Its totient is φ = 780848640.

The previous prime is 1344334423. The next prime is 1344334441.

1344334431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1344334431 - 23 = 1344334423 is a prime.

It is a super-2 number, since 2×13443344312 = 3614470124744187522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344334441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73591 + ... + 90023.

It is an arithmetic number, because the mean of its divisors is an integer number (63698184).

Almost surely, 21344334431 is an apocalyptic number.

1344334431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344334431 is a deficient number, since it is larger than the sum of its proper divisors (694007457).

1344334431 is a wasteful number, since it uses less digits than its factorization.

1344334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16551.

The product of its digits is 20736, while the sum is 30.

The square root of 1344334431 is about 36665.1664526428. The cubic root of 1344334431 is about 1103.6611976608.

It can be divided in two parts, 13443 and 34431, that added together give a palindrome (47874).

The spelling of 1344334431 in words is "one billion, three hundred forty-four million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 67 111 201 407 737 1221 2211 2479 7437 16433 27269 49299 81807 180763 542289 608021 1101011 1824063 3303033 6688231 12111121 20064693 36333363 40737407 122212221 448111477 1344334431