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34144313 = 717286927
BaseRepresentation
bin1000001001000…
…0000000111001
32101020201012012
42002100000321
532220104223
63215455305
7563136050
oct202200071
971221165
1034144313
1118301145
12b527535
1370c6448
14476b397
152ee6c78
hex2090039

34144313 has 8 divisors (see below), whose sum is σ = 41317632. Its totient is φ = 27544896.

The previous prime is 34144309. The next prime is 34144333. The reversal of 34144313 is 31344143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34144313 - 22 = 34144309 is a prime.

It is a super-2 number, since 2×341443132 = 2331668220483938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34144333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143345 + ... + 143582.

It is an arithmetic number, because the mean of its divisors is an integer number (5164704).

Almost surely, 234144313 is an apocalyptic number.

It is an amenable number.

34144313 is a deficient number, since it is larger than the sum of its proper divisors (7173319).

34144313 is a wasteful number, since it uses less digits than its factorization.

34144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286951.

The product of its digits is 1728, while the sum is 23.

The square root of 34144313 is about 5843.3135291545. The cubic root of 34144313 is about 324.4188842386.

Adding to 34144313 its reverse (31344143), we get a palindrome (65488456).

The spelling of 34144313 in words is "thirty-four million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 7 17 119 286927 2008489 4877759 34144313