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34247680 = 21056689
BaseRepresentation
bin1000001010100…
…1010000000000
32101102221222121
42002221100000
532231411210
63222014024
7564046315
oct202512000
971387877
1034247680
1118371875
12b577314
1371314cc
144796d0c
1530176da
hex20a9400

34247680 has 44 divisors (see below), whose sum is σ = 82166580. Its totient is φ = 13697024.

The previous prime is 34247659. The next prime is 34247683. The reversal of 34247680 is 8674243.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 13307904 = 4576^2 + 3648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34247683) 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, 1776 + ... + 8464.

Almost surely, 234247680 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 34247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41083290).

34247680 is an abundant number, since it is smaller than the sum of its proper divisors (47918900).

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

34247680 is an equidigital number, since it uses as much as digits as its factorization.

34247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34247680 is about 5852.1517410265. The cubic root of 34247680 is about 324.7459316116.

The spelling of 34247680 in words is "thirty-four million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 6689 13378 26756 33445 53512 66890 107024 133780 214048 267560 428096 535120 856192 1070240 1712384 2140480 3424768 4280960 6849536 8561920 17123840 34247680