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34254976 = 27738231
BaseRepresentation
bin1000001010101…
…1000010000000
32101110022222211
42002223002000
532232124401
63222111504
7564106510
oct202530200
971408884
1034254976
11183772a8
12b57b594
137134922
144799840
153019951
hex20ab080

34254976 has 32 divisors (see below), whose sum is σ = 77993280. Its totient is φ = 14680320.

The previous prime is 34254973. The next prime is 34255079. The reversal of 34254976 is 67945243.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34254971) 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 3 ways as a sum of consecutive naturals, for example, 18220 + ... + 20011.

It is an arithmetic number, because the mean of its divisors is an integer number (2437290).

Almost surely, 234254976 is an apocalyptic number.

It is an amenable number.

34254976 is an abundant number, since it is smaller than the sum of its proper divisors (43738304).

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

34254976 is an equidigital number, since it uses as much as digits as its factorization.

34254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38252 (or 38240 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 34254976 is about 5852.7750682903. The cubic root of 34254976 is about 324.7689908678.

The spelling of 34254976 in words is "thirty-four million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 38231 76462 152924 267617 305848 535234 611696 1070468 1223392 2140936 2446784 4281872 4893568 8563744 17127488 34254976