Search a number
-
+
344304023431 = 31188919792971
BaseRepresentation
bin1010000001010100001…
…11100111011110000111
31012220201010202121102211
411000222013213132013
521120113312222211
6422100542044251
733606113624404
oct5005207473607
91186633677384
10344304023431
111230227108a5
125688a879687
13266107abaa4
14129431a32ab
158e51e71e21
hex502a1e7787

344304023431 has 16 divisors (see below), whose sum is σ = 355898188800. Its totient is φ = 332740742400.

The previous prime is 344304023423. The next prime is 344304023461. The reversal of 344304023431 is 134320403443.

It is a cyclic number.

It is not a de Polignac number, because 344304023431 - 23 = 344304023423 is a prime.

It is a super-2 number, since 2×3443040234312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344304023393 and 344304023402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344304023411) 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 15 ways as a sum of consecutive naturals, for example, 115886776 + ... + 115889746.

It is an arithmetic number, because the mean of its divisors is an integer number (22243636800).

Almost surely, 2344304023431 is an apocalyptic number.

344304023431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

344304023431 is a deficient number, since it is larger than the sum of its proper divisors (11594165369).

344304023431 is a wasteful number, since it uses less digits than its factorization.

344304023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 344304023431 its reverse (134320403443), we get a palindrome (478624426874).

The spelling of 344304023431 in words is "three hundred forty-four billion, three hundred four million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 31 1889 1979 2971 58559 61349 92101 3738331 5612219 5879609 115888261 173978789 182267879 11106581401 344304023431