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34378768 = 245371571
BaseRepresentation
bin1000001100100…
…1010000010000
32101200121210201
42003021100100
532300110033
63224504544
7565133434
oct203112020
971617721
1034378768
1118451306
12b61b154
137179088
1447cc9c4
15304147d
hex20c9410

34378768 has 40 divisors (see below), whose sum is σ = 68942016. Its totient is φ = 16598400.

The previous prime is 34378763. The next prime is 34378823. The reversal of 34378768 is 86787343.

It is not an unprimeable number, because it can be changed into a prime (34378763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59923 + ... + 60493.

Almost surely, 234378768 is an apocalyptic number.

It is an amenable number.

34378768 is an abundant number, since it is smaller than the sum of its proper divisors (34563248).

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

34378768 is a wasteful number, since it uses less digits than its factorization.

34378768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 34378768 is about 5863.3410270937. The cubic root of 34378768 is about 325.1597415905.

The spelling of 34378768 in words is "thirty-four million, three hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 53 71 106 142 212 284 424 568 571 848 1136 1142 2284 3763 4568 7526 9136 15052 30104 30263 40541 60208 60526 81082 121052 162164 242104 324328 484208 648656 2148673 4297346 8594692 17189384 34378768