Search a number
-
+
34797079620 = 22325486139769
BaseRepresentation
bin100000011010000100…
…010100110001000100
310022211001211210111200
4200122010110301010
51032231023021440
623552514102500
72341206203502
oct403204246104
9108731753450
1034797079620
1113837053a46
1268b157aa30
133387186354
1419815a7672
15d89d4ac30
hex81a114c44

34797079620 has 72 divisors (see below), whose sum is σ = 105575510040. Its totient is φ = 9277079040.

The previous prime is 34797079591. The next prime is 34797079627. The reversal of 34797079620 is 2697079743.

34797079620 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 7 + 0 + 7 + 9 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4477215744 + 30319863876 = 66912^2 + 174126^2 .

It is not an unprimeable number, because it can be changed into a prime (34797079627) 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 23 ways as a sum of consecutive naturals, for example, 855096 + ... + 894864.

Almost surely, 234797079620 is an apocalyptic number.

34797079620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34797079620 is an abundant number, since it is smaller than the sum of its proper divisors (70778430420).

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

34797079620 is a wasteful number, since it uses less digits than its factorization.

34797079620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44645 (or 44640 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 34797079620 in words is "thirty-four billion, seven hundred ninety-seven million, seventy-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4861 9722 14583 19444 24305 29166 39769 43749 48610 58332 72915 79538 87498 97220 119307 145830 159076 174996 198845 218745 238614 291660 357921 397690 437490 477228 596535 715842 795380 874980 1193070 1431684 1789605 2386140 3579210 7158420 193317109 386634218 579951327 773268436 966585545 1159902654 1739853981 1933171090 2319805308 2899756635 3479707962 3866342180 5799513270 6959415924 8699269905 11599026540 17398539810 34797079620