Search a number
-
+
343044440343 = 321116072156251
BaseRepresentation
bin1001111110111110000…
…10101100000100010111
31012210110100122011021100
410333133002230010113
521110023334042333
6421331544521143
733532650426453
oct4773702540427
91183410564240
10343044440343
11122536709440
1256598a801b3
132646c855357
1412863ba3663
158dcb5b7213
hex4fdf0ac117

343044440343 has 24 divisors (see below), whose sum is σ = 540891501696. Its totient is φ = 207776250000.

The previous prime is 343044440339. The next prime is 343044440351.

343044440343 is a `hidden beast` number, since 3 + 4 + 304 + 4 + 4 + 4 + 0 + 343 = 666.

343044440343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343044440343 - 22 = 343044440339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343044440298 and 343044440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343044440353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919033 + ... + 1237218.

It is an arithmetic number, because the mean of its divisors is an integer number (22537145904).

Almost surely, 2343044440343 is an apocalyptic number.

343044440343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343044440343 is a deficient number, since it is larger than the sum of its proper divisors (197847061353).

343044440343 is a wasteful number, since it uses less digits than its factorization.

343044440343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157875 (or 2157872 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 343044 and 440343, that added together give a palindrome (783387).

The spelling of 343044440343 in words is "three hundred forty-three billion, forty-four million, four hundred forty thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 1607 4821 14463 17677 53031 159093 2156251 6468753 19406259 23718761 71156283 213468849 3465095357 10395286071 31185858213 38116048927 114348146781 343044440343