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34305280 = 28526801
BaseRepresentation
bin1000001011011…
…1010100000000
32101112212222221
42002313110000
532240232110
63223140424
7564406252
oct202672400
971485887
1034305280
1118401079
12b5a4714
1371517a9
1447adcd2
1530297da
hex20b7500

34305280 has 36 divisors (see below), whose sum is σ = 82174932. Its totient is φ = 13721600.

The previous prime is 34305277. The next prime is 34305281. The reversal of 34305280 is 8250343.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 22581504 = 3424^2 + 4752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305281) 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, 12121 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (2282637).

Almost surely, 234305280 is an apocalyptic number.

It is an amenable number.

34305280 is an abundant number, since it is smaller than the sum of its proper divisors (47869652).

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

34305280 is an equidigital number, since it uses as much as digits as its factorization.

34305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26822 (or 26808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 34305280 is about 5857.0709403250. The cubic root of 34305280 is about 324.9278893268.

The spelling of 34305280 in words is "thirty-four million, three hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 26801 53602 107204 134005 214408 268010 428816 536020 857632 1072040 1715264 2144080 3430528 4288160 6861056 8576320 17152640 34305280