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344214101 = 71144310091
BaseRepresentation
bin10100100001000…
…100101001010101
3212222200212222102
4110201010221111
51201104322401
654053411445
711346525440
oct2441045125
9788625872
10344214101
11167333170
1297339b85
135640b7aa
1433a02657
152034456b
hex14844a55

344214101 has 16 divisors (see below), whose sum is σ = 430161408. Its totient is φ = 267586800.

The previous prime is 344214047. The next prime is 344214119. The reversal of 344214101 is 101412443.

It is a cyclic number.

It is not a de Polignac number, because 344214101 - 218 = 343951957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344214191) 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 15 ways as a sum of consecutive naturals, for example, 29066 + ... + 39156.

It is an arithmetic number, because the mean of its divisors is an integer number (26885088).

Almost surely, 2344214101 is an apocalyptic number.

It is an amenable number.

344214101 is a deficient number, since it is larger than the sum of its proper divisors (85947307).

344214101 is a wasteful number, since it uses less digits than its factorization.

344214101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 344214101 is about 18553.0078693456. The cubic root of 344214101 is about 700.8249464705.

Adding to 344214101 its reverse (101412443), we get a palindrome (445626544).

The spelling of 344214101 in words is "three hundred forty-four million, two hundred fourteen thousand, one hundred one".

Divisors: 1 7 11 77 443 3101 4873 10091 34111 70637 111001 777007 4470313 31292191 49173443 344214101