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34036065 = 335736017
BaseRepresentation
bin1000000111010…
…1100101100001
32101001012201000
42001311211201
532203123230
63213302213
7562205340
oct201654541
971035630
1034036065
1118237888
12b494969
1370890ab
14473db57
152ec4b60
hex2075961

34036065 has 32 divisors (see below), whose sum is σ = 69154560. Its totient is φ = 15558912.

The previous prime is 34036063. The next prime is 34036069. The reversal of 34036065 is 56063043.

It is not a de Polignac number, because 34036065 - 21 = 34036063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34036063) 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 31 ways as a sum of consecutive naturals, for example, 17064 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (2161080).

Almost surely, 234036065 is an apocalyptic number.

34036065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34036065 is an abundant number, since it is smaller than the sum of its proper divisors (35118495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34036065 is a wasteful number, since it uses less digits than its factorization.

34036065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36038 (or 36032 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 34036065 is about 5834.0436234228. The cubic root of 34036065 is about 324.0756853366.

The spelling of 34036065 in words is "thirty-four million, thirty-six thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 36017 108051 180085 252119 324153 540255 756357 972459 1260595 1620765 2269071 3781785 4862295 6807213 11345355 34036065