Search a number
-
+
344310013443 = 31137281990183
BaseRepresentation
bin1010000001010100111…
…10011101111000000011
31012220201120000221012010
411000222132131320003
521120121330412233
6422101314304003
733606215553114
oct5005236357003
91186646027163
10344310013443
11123026032220
1256890888003
1326611ac8386
1412943cc220b
158e52756b63
hex502a79de03

344310013443 has 16 divisors (see below), whose sum is σ = 514350095616. Its totient is φ = 203032931040.

The previous prime is 344310013433. The next prime is 344310013457.

344310013443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344310013443 - 224 = 344293236227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344310013443.

It is not an unprimeable number, because it can be changed into a prime (344310013433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140993871 + ... + 140996312.

It is an arithmetic number, because the mean of its divisors is an integer number (32146880976).

Almost surely, 2344310013443 is an apocalyptic number.

344310013443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344310013443 is a deficient number, since it is larger than the sum of its proper divisors (170040082173).

344310013443 is a wasteful number, since it uses less digits than its factorization.

344310013443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281990234.

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

It can be divided in two parts, 3443100 and 13443, that added together give a palindrome (3456543).

The spelling of 344310013443 in words is "three hundred forty-four billion, three hundred ten million, thirteen thousand, four hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 281990183 845970549 3101892013 9305676039 10433636771 31300910313 114770004481 344310013443