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34856101 = 724371233
BaseRepresentation
bin1000010011110…
…1110010100101
32102120212120201
42010331302211
532410343401
63243030501
7602162200
oct204756245
972525521
1034856101
11187479a5
12b80b431
1372b5417
1448b4937
1530d7b01
hex213dca5

34856101 has 24 divisors (see below), whose sum is σ = 42254784. Its totient is φ = 28647360.

The previous prime is 34856047. The next prime is 34856111. The reversal of 34856101 is 10165843.

34856101 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 34856101 - 27 = 34855973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34856101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34856111) 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, 149481 + ... + 149713.

It is an arithmetic number, because the mean of its divisors is an integer number (1760616).

Almost surely, 234856101 is an apocalyptic number.

It is an amenable number.

34856101 is a deficient number, since it is larger than the sum of its proper divisors (7398683).

34856101 is a wasteful number, since it uses less digits than its factorization.

34856101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 34856101 is about 5903.9055717381. The cubic root of 34856101 is about 326.6577265127.

The spelling of 34856101 in words is "thirty-four million, eight hundred fifty-six thousand, one hundred one".

Divisors: 1 7 43 49 71 233 301 497 1631 2107 3053 3479 10019 11417 16543 21371 70133 115801 149597 490931 711349 810607 4979443 34856101