Search a number
-
+
344436634443 = 31141254572531
BaseRepresentation
bin1010000001100100000…
…01011111001101001011
31012221001101021221112210
411000302001133031023
521120401234300233
6422122040240203
733612314041416
oct5006201371513
91187041257483
10344436634443
11123090556480
1256907170063
13266320ccb45
1412956a42b7d
158e5d919163
hex503205f34b

344436634443 has 16 divisors (see below), whose sum is σ = 513218224512. Its totient is φ = 203658024000.

The previous prime is 344436634433. The next prime is 344436634489.

344436634443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344436634443 - 213 = 344436626251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344436634392 and 344436634401.

It is not an unprimeable number, because it can be changed into a prime (344436634403) 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 15 ways as a sum of consecutive naturals, for example, 127284913 + ... + 127287618.

It is an arithmetic number, because the mean of its divisors is an integer number (32076139032).

Almost surely, 2344436634443 is an apocalyptic number.

344436634443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344436634443 is a deficient number, since it is larger than the sum of its proper divisors (168781590069).

344436634443 is a wasteful number, since it uses less digits than its factorization.

344436634443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254572586.

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 344436 and 634443, that added together give a palindrome (978879).

The spelling of 344436634443 in words is "three hundred forty-four billion, four hundred thirty-six million, six hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 3 11 33 41 123 451 1353 254572531 763717593 2800297841 8400893523 10437473771 31312421313 114812211481 344436634443