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34430313 = 337313991
BaseRepresentation
bin1000001101010…
…1110101101001
32101210020111210
42003111311221
532303232223
63225543333
7565436631
oct203256551
971706453
1034430313
1118487005
12b644b49
137196688
1448036c1
153051893
hex20d5d69

34430313 has 16 divisors (see below), whose sum is σ = 47346176. Its totient is φ = 22239360.

The previous prime is 34430311. The next prime is 34430317. The reversal of 34430313 is 31303443.

34430313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34430313 - 21 = 34430311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34430313.

It is not an unprimeable number, because it can be changed into a prime (34430311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34248 + ... + 35238.

It is an arithmetic number, because the mean of its divisors is an integer number (2959136).

Almost surely, 234430313 is an apocalyptic number.

It is an amenable number.

34430313 is a deficient number, since it is larger than the sum of its proper divisors (12915863).

34430313 is a wasteful number, since it uses less digits than its factorization.

34430313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 34430313 is about 5867.7349122127. The cubic root of 34430313 is about 325.3221673202.

Adding to 34430313 its reverse (31303443), we get a palindrome (65733756).

It can be divided in two parts, 34430 and 313, that added together give a palindrome (34743).

The spelling of 34430313 in words is "thirty-four million, four hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 37 111 313 939 991 2973 11581 34743 36667 110001 310183 930549 11476771 34430313