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34736013376 = 26232972
BaseRepresentation
bin100000010110011011…
…011000000001000000
310022122210221022100221
4200112123120001000
51032114404412001
623542453152424
72336535146011
oct402633300100
9108583838327
1034736013376
1113805634a79
12689502b714
133377624c8c
14197742d008
15d847d71a1
hex8166d8040

34736013376 has 21 divisors (see below), whose sum is σ = 68932235389. Its totient is φ = 17367261184.

The previous prime is 34736013353. The next prime is 34736013379. The reversal of 34736013376 is 67331063743.

The square root of 34736013376 is 186376.

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

It can be written as a sum of positive squares in only one way, i.e., 3556929600 + 31179083776 = 59640^2 + 176576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34736013379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1479360 + ... + 1502656.

Almost surely, 234736013376 is an apocalyptic number.

34736013376 is the 186376-th square number.

It is an amenable number.

34736013376 is a deficient number, since it is larger than the sum of its proper divisors (34196222013).

34736013376 is an frugal number, since it uses more digits than its factorization.

34736013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46606 (or 23299 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 43.

The spelling of 34736013376 in words is "thirty-four billion, seven hundred thirty-six million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 23297 46594 93188 186376 372752 745504 1491008 542750209 1085500418 2171000836 4342001672 8684003344 17368006688 34736013376