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344140101 = 32416115289
BaseRepresentation
bin10100100000110…
…010100101000101
3212222120010110200
4110200302211011
51201044440401
654052041113
711346066624
oct2440624505
9788503420
10344140101
11167292608
1297303199
13563b3bc6
14339c36bb
152032c686
hex14832945

344140101 has 24 divisors (see below), whose sum is σ = 517597080. Its totient is φ = 220147200.

The previous prime is 344140081. The next prime is 344140109. The reversal of 344140101 is 101041443.

It can be written as a sum of positive squares in 4 ways, for example, as 5616900 + 338523201 = 2370^2 + 18399^2 .

It is not a de Polignac number, because 344140101 - 29 = 344139589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344140109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14865 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (21566545).

Almost surely, 2344140101 is an apocalyptic number.

It is an amenable number.

344140101 is a deficient number, since it is larger than the sum of its proper divisors (173456979).

344140101 is a wasteful number, since it uses less digits than its factorization.

344140101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 344140101 is about 18551.0134763576. The cubic root of 344140101 is about 700.7747211768.

Adding to 344140101 its reverse (101041443), we get a palindrome (445181544).

The spelling of 344140101 in words is "three hundred forty-four million, one hundred forty thousand, one hundred one".

Divisors: 1 3 9 41 61 123 183 369 549 2501 7503 15289 22509 45867 137601 626849 932629 1880547 2797887 5641641 8393661 38237789 114713367 344140101