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34768877 = 1113259317
BaseRepresentation
bin1000010010100…
…0011111101101
32102102102221012
42010220133231
532400101002
63241115005
7601346663
oct204503755
972372835
1034768877
1118698410
12b788a65
137284800
144890c33
1530bbd52
hex21287ed

34768877 has 24 divisors (see below), whose sum is σ = 41899680. Its totient is φ = 28591680.

The previous prime is 34768849. The next prime is 34768889. The reversal of 34768877 is 77886743.

34768877 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 34768877 - 212 = 34764781 is a prime.

It is a super-2 number, since 2×347688772 = 2417749615682258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768817) 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, 109523 + ... + 109839.

It is an arithmetic number, because the mean of its divisors is an integer number (1745820).

Almost surely, 234768877 is an apocalyptic number.

It is an amenable number.

34768877 is a deficient number, since it is larger than the sum of its proper divisors (7130803).

34768877 is a wasteful number, since it uses less digits than its factorization.

34768877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 50.

The square root of 34768877 is about 5896.5139701352. The cubic root of 34768877 is about 326.3850225260.

The spelling of 34768877 in words is "thirty-four million, seven hundred sixty-eight thousand, eight hundred seventy-seven".

Divisors: 1 11 13 59 143 169 317 649 767 1859 3487 4121 8437 9971 18703 45331 53573 109681 205733 243139 589303 2674529 3160807 34768877