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34303856 = 242331297
BaseRepresentation
bin1000001011011…
…0111101110000
32101112211001012
42002312331300
532240210411
63223130052
7564402146
oct202667560
971484035
1034303856
11183aaaa4
12b5a3928
137150c52
1447ad596
15302918b
hex20b6f70

34303856 has 60 divisors (see below), whose sum is σ = 72401616. Its totient is φ = 15713280.

The previous prime is 34303853. The next prime is 34303859. The reversal of 34303856 is 65830343.

34303856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34303853) and next prime (34303859).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303853) 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 11 ways as a sum of consecutive naturals, for example, 353600 + ... + 353696.

Almost surely, 234303856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34303856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200808).

34303856 is an abundant number, since it is smaller than the sum of its proper divisors (38097760).

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

34303856 is a wasteful number, since it uses less digits than its factorization.

34303856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 34303856 is about 5856.9493765953. The cubic root of 34303856 is about 324.9233933841.

The spelling of 34303856 in words is "thirty-four million, three hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 97 124 184 194 248 368 388 496 713 776 961 1426 1552 1922 2231 2852 3007 3844 4462 5704 6014 7688 8924 11408 12028 15376 17848 22103 24056 35696 44206 48112 69161 88412 93217 138322 176824 186434 276644 353648 372868 553288 745736 1106576 1491472 2143991 4287982 8575964 17151928 34303856