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34056756 = 2232946021
BaseRepresentation
bin1000000111101…
…0101000110100
32101002021002100
42001322220310
532204304011
63213542100
7562322556
oct201725064
971067070
1034056756
1118251388
12b4a4930
137095636
1447474d6
152ecad56
hex207aa34

34056756 has 18 divisors (see below), whose sum is σ = 86088002. Its totient is φ = 11352240.

The previous prime is 34056751. The next prime is 34056791. The reversal of 34056756 is 65765043.

34056756 is a `hidden beast` number, since 3 + 40 + 567 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33246756 + 810000 = 5766^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 946021 = 34056756 / (3 + 4 + 0 + 5 + 6 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 34056756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472975 + ... + 473046.

Almost surely, 234056756 is an apocalyptic number.

34056756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34056756 is an abundant number, since it is smaller than the sum of its proper divisors (52031246).

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

34056756 is a wasteful number, since it uses less digits than its factorization.

34056756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946031 (or 946026 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 34056756 is about 5835.8166523632. The cubic root of 34056756 is about 324.1413420813.

The spelling of 34056756 in words is "thirty-four million, fifty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 946021 1892042 2838063 3784084 5676126 8514189 11352252 17028378 34056756