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34825856 = 271320929
BaseRepresentation
bin1000010011011…
…0011010000000
32102112100002112
42010312122000
532403411411
63242234452
7602005052
oct204663200
972470075
1034825856
11187271aa
12b7b5a28
1372a4720
1448a78d2
1530cdb8b
hex2136680

34825856 has 32 divisors (see below), whose sum is σ = 74720100. Its totient is φ = 16072704.

The previous prime is 34825853. The next prime is 34825859. The reversal of 34825856 is 65852843.

It is an interprime number because it is at equal distance from previous prime (34825853) and next prime (34825859).

It can be written as a sum of positive squares in 2 ways, for example, as 33825856 + 1000000 = 5816^2 + 1000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×348258562 = 2425680492265472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8801 + ... + 12128.

Almost surely, 234825856 is an apocalyptic number.

It is an amenable number.

34825856 is an abundant number, since it is smaller than the sum of its proper divisors (39894244).

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

34825856 is a wasteful number, since it uses less digits than its factorization.

34825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20956 (or 20944 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 34825856 is about 5901.3435758308. The cubic root of 34825856 is about 326.5632177407.

The spelling of 34825856 in words is "thirty-four million, eight hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 20929 41858 83716 167432 272077 334864 544154 669728 1088308 1339456 2176616 2678912 4353232 8706464 17412928 34825856