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34724086336 = 26232932
BaseRepresentation
bin100000010101101101…
…111000001001000000
310022121222111100112201
4200111231320021000
51032103331230321
623541345402544
72336331602212
oct402555701100
9108558440481
1034724086336
11137a9929015
126891039454
13337500a264
141975a065b2
15d8372d291
hex815b78240

34724086336 has 21 divisors (see below), whose sum is σ = 68908567161. Its totient is φ = 17361297792.

The previous prime is 34724086333. The next prime is 34724086339. The reversal of 34724086336 is 63368042743.

The square root of 34724086336 is 186344.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (34724086333) and next prime (34724086339).

It can be written as a sum of positive squares in only one way, i.e., 1067982400 + 33656103936 = 32680^2 + 183456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34724086333) 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 2 ways as a sum of consecutive naturals, for example, 1479106 + ... + 1502398.

It is an arithmetic number, because the mean of its divisors is an integer number (3281360341).

Almost surely, 234724086336 is an apocalyptic number.

34724086336 is the 186344-th square number.

It is an amenable number.

34724086336 is a deficient number, since it is larger than the sum of its proper divisors (34184480825).

34724086336 is an frugal number, since it uses more digits than its factorization.

34724086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46598 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 34724086336 in words is "thirty-four billion, seven hundred twenty-four million, eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 23293 46586 93172 186344 372688 745376 1490752 542563849 1085127698 2170255396 4340510792 8681021584 17362043168 34724086336