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34205314 = 21113199601
BaseRepresentation
bin1000001001111…
…0111010000010
32101100210212111
42002132322002
532224032224
63221045534
7563511643
oct202367202
971323774
1034205314
1118342a60
12b5568aa
137118140
1447856ca
153009d94
hex209ee82

34205314 has 32 divisors (see below), whose sum is σ = 60681600. Its totient is φ = 14256000.

The previous prime is 34205273. The next prime is 34205333. The reversal of 34205314 is 41350243.

34205314 = T484 + T485 + ... + T682.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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, 56614 + ... + 57214.

It is an arithmetic number, because the mean of its divisors is an integer number (1896300).

Almost surely, 234205314 is an apocalyptic number.

34205314 is a deficient number, since it is larger than the sum of its proper divisors (26476286).

34205314 is a wasteful number, since it uses less digits than its factorization.

34205314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34205314 is about 5848.5309266516. The cubic root of 34205314 is about 324.6119676641.

Adding to 34205314 its reverse (41350243), we get a palindrome (75555557).

Subtracting 34205314 from its reverse (41350243), we obtain a square (7144929 = 26732).

The spelling of 34205314 in words is "thirty-four million, two hundred five thousand, three hundred fourteen".

Divisors: 1 2 11 13 22 26 143 199 286 398 601 1202 2189 2587 4378 5174 6611 7813 13222 15626 28457 56914 85943 119599 171886 239198 1315589 1554787 2631178 3109574 17102657 34205314