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34790112 = 2532717257
BaseRepresentation
bin1000010010110…
…1101011100000
32102110112001200
42010231223200
532401240422
63241401200
7601465620
oct204555340
972415050
1034790112
1118702365
12b799200
137291386
144898880
1530c32ac
hex212dae0

34790112 has 72 divisors (see below), whose sum is σ = 113074416. Its totient is φ = 9939456.

The previous prime is 34790081. The next prime is 34790123. The reversal of 34790112 is 21109743.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6613 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (1570478).

Almost surely, 234790112 is an apocalyptic number.

34790112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34790112 is an abundant number, since it is smaller than the sum of its proper divisors (78284304).

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

34790112 is a wasteful number, since it uses less digits than its factorization.

34790112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17280 (or 17269 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 34790112 is about 5898.3143354691. The cubic root of 34790112 is about 326.4514552674.

Adding to 34790112 its reverse (21109743), we get a palindrome (55899855).

The spelling of 34790112 in words is "thirty-four million, seven hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 17257 34514 51771 69028 103542 120799 138056 155313 207084 241598 276112 310626 362397 414168 483196 552224 621252 724794 828336 966392 1087191 1242504 1449588 1656672 1932784 2174382 2485008 2899176 3865568 4348764 4970016 5798352 8697528 11596704 17395056 34790112