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34839765 = 325774217
BaseRepresentation
bin1000010011100…
…1110011010101
32102120001011200
42010321303111
532404333030
63242423113
7602063442
oct204716325
972501150
1034839765
11187366a4
12b801a99
1372aab5c
1448ac9c9
1530d2d60
hex2139cd5

34839765 has 12 divisors (see below), whose sum is σ = 60389004. Its totient is φ = 18581184.

The previous prime is 34839757. The next prime is 34839767. The reversal of 34839765 is 56793843.

34839765 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 2 ways, for example, as 11249316 + 23590449 = 3354^2 + 4857^2 .

It is not a de Polignac number, because 34839765 - 23 = 34839757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 774217 = 34839765 / (3 + 4 + 8 + 3 + 9 + 7 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 34839765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34839767) 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 11 ways as a sum of consecutive naturals, for example, 387064 + ... + 387153.

It is an arithmetic number, because the mean of its divisors is an integer number (5032417).

Almost surely, 234839765 is an apocalyptic number.

It is an amenable number.

34839765 is a deficient number, since it is larger than the sum of its proper divisors (25549239).

34839765 is a wasteful number, since it uses less digits than its factorization.

34839765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774228 (or 774225 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34839765 is about 5902.5219186378. The cubic root of 34839765 is about 326.6066870071.

The spelling of 34839765 in words is "thirty-four million, eight hundred thirty-nine thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 774217 2322651 3871085 6967953 11613255 34839765