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34003213 = 175933373
BaseRepresentation
bin1000000110110…
…1100100001101
32100222112122021
42001231210031
532201100323
63212450141
7562010506
oct201554415
970875567
1034003213
1118215132
12b479951
13707715a
144731bad
152eba05d
hex206d90d

34003213 has 8 divisors (see below), whose sum is σ = 36074808. Its totient is φ = 31939584.

The previous prime is 34003171. The next prime is 34003241. The reversal of 34003213 is 31230043.

It can be written as a sum of positive squares in 4 ways, for example, as 22155849 + 11847364 = 4707^2 + 3442^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34003213 is a prime.

It is a Duffinian number.

34003213 is a modest number, since divided by 3213 gives 34 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003243) 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 7 ways as a sum of consecutive naturals, for example, 8395 + ... + 11767.

It is an arithmetic number, because the mean of its divisors is an integer number (4509351).

Almost surely, 234003213 is an apocalyptic number.

It is an amenable number.

34003213 is a deficient number, since it is larger than the sum of its proper divisors (2071595).

34003213 is a wasteful number, since it uses less digits than its factorization.

34003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34003213 is about 5831.2274008137. The cubic root of 34003213 is about 323.9713845835.

Adding to 34003213 its reverse (31230043), we get a palindrome (65233256).

The spelling of 34003213 in words is "thirty-four million, three thousand, two hundred thirteen".

Divisors: 1 17 593 3373 10081 57341 2000189 34003213