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34003385 = 513523129
BaseRepresentation
bin1000000110110…
…1100110111001
32100222112212122
42001231212321
532201102020
63212451025
7562011143
oct201554671
970875778
1034003385
1118215279
12b479a75
137077260
144731c93
152eba125
hex206d9b9

34003385 has 8 divisors (see below), whose sum is σ = 43942920. Its totient is φ = 25110144.

The previous prime is 34003379. The next prime is 34003393. The reversal of 34003385 is 58330043.

34003385 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 7573504 + 26429881 = 2752^2 + 5141^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34003385 - 212 = 33999289 is a prime.

It is a super-3 number, since 3×340033853 (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 261500 + ... + 261629.

It is an arithmetic number, because the mean of its divisors is an integer number (5492865).

Almost surely, 234003385 is an apocalyptic number.

It is an amenable number.

34003385 is a deficient number, since it is larger than the sum of its proper divisors (9939535).

34003385 is a wasteful number, since it uses less digits than its factorization.

34003385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523147.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 34003385 is about 5831.2421489765. The cubic root of 34003385 is about 323.9719308356.

The spelling of 34003385 in words is "thirty-four million, three thousand, three hundred eighty-five".

Divisors: 1 5 13 65 523129 2615645 6800677 34003385