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344343334100 = 22523443433341
BaseRepresentation
bin1010000001011000111…
…01100100110011010100
31012220210212201210112112
411000230131210303110
521120203343142400
6422104504410152
733610102021643
oct5005435446324
91186725653475
10344343334100
11123042920557
125689ba76958
132661899393c
14129484b735a
158e55639835
hex502c764cd4

344343334100 has 18 divisors (see below), whose sum is σ = 747225035214. Its totient is φ = 137737333600.

The previous prime is 344343334091. The next prime is 344343334103. The reversal of 344343334100 is 1433343443.

It can be written as a sum of positive squares in 3 ways, for example, as 81003990544 + 263339343556 = 284612^2 + 513166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344343334103) 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 5 ways as a sum of consecutive naturals, for example, 1721716571 + ... + 1721716770.

Almost surely, 2344343334100 is an apocalyptic number.

It is an amenable number.

344343334100 is an abundant number, since it is smaller than the sum of its proper divisors (402881701114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344343334100 is a wasteful number, since it uses less digits than its factorization.

344343334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443433355 (or 3443433348 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 344343334100 its reverse (1433343443), we get a palindrome (345776677543).

The spelling of 344343334100 in words is "three hundred forty-four billion, three hundred forty-three million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3443433341 6886866682 13773733364 17217166705 34434333410 68868666820 86085833525 172171667050 344343334100