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34003413 = 3261241257
BaseRepresentation
bin1000000110110…
…1100111010101
32100222112220200
42001231213111
532201102123
63212451113
7562011213
oct201554725
970875820
1034003413
11182152a4
12b479a99
137077282
144731cb3
152eba143
hex206d9d5

34003413 has 24 divisors (see below), whose sum is σ = 50323416. Its totient is φ = 22118400.

The previous prime is 34003393. The next prime is 34003421. The reversal of 34003413 is 31430043.

34003413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9381969 + 24621444 = 3063^2 + 4962^2 .

It is not a de Polignac number, because 34003413 - 216 = 33937877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003813) 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 23 ways as a sum of consecutive naturals, for example, 132181 + ... + 132437.

It is an arithmetic number, because the mean of its divisors is an integer number (2096809).

Almost surely, 234003413 is an apocalyptic number.

It is an amenable number.

34003413 is a deficient number, since it is larger than the sum of its proper divisors (16320003).

34003413 is a wasteful number, since it uses less digits than its factorization.

34003413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34003413 is about 5831.2445498367. The cubic root of 34003413 is about 323.9720197602.

Adding to 34003413 its reverse (31430043), we get a palindrome (65433456).

The spelling of 34003413 in words is "thirty-four million, three thousand, four hundred thirteen".

Divisors: 1 3 9 61 183 241 257 549 723 771 2169 2313 14701 15677 44103 47031 61937 132309 141093 185811 557433 3778157 11334471 34003413