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34002135 = 3251993797
BaseRepresentation
bin1000000110110…
…1010011010111
32100222111011100
42001231103113
532201032020
63212441143
7562004406
oct201552327
970874140
1034002135
1118214342
12b4791b3
13707680b
14473163d
152eb9a90
hex206d4d7

34002135 has 24 divisors (see below), whose sum is σ = 59248800. Its totient is φ = 18038592.

The previous prime is 34002109. The next prime is 34002151. The reversal of 34002135 is 53120043.

34002135 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 34002135 - 28 = 34001879 is a prime.

It is a super-2 number, since 2×340021352 = 2312290369116450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 7057 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (2468700).

Almost surely, 234002135 is an apocalyptic number.

34002135 is a deficient number, since it is larger than the sum of its proper divisors (25246665).

34002135 is a wasteful number, since it uses less digits than its factorization.

34002135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34002135 is about 5831.1349667110. The cubic root of 34002135 is about 323.9679609380.

Adding to 34002135 its reverse (53120043), we get a palindrome (87122178).

The spelling of 34002135 in words is "thirty-four million, two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 199 597 995 1791 2985 3797 8955 11391 18985 34173 56955 170865 755603 2266809 3778015 6800427 11334045 34002135