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4334340420 = 22325194130911
BaseRepresentation
bin1000000100101100…
…01100100101000100
3102012001211022021200
410002112030211010
532334042343140
61554031542500
7212260166664
oct40226144504
912161738250
104334340420
111924693123
12a0b68aa30
13540c83c97
142d19061a4
151a57b9030
hex10258c944

4334340420 has 144 divisors (see below), whose sum is σ = 14177479680. Its totient is φ = 1068249600.

The previous prime is 4334340403. The next prime is 4334340457. The reversal of 4334340420 is 240434334.

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 47 ways as a sum of consecutive naturals, for example, 124765 + ... + 155675.

It is an arithmetic number, because the mean of its divisors is an integer number (98454720).

Almost surely, 24334340420 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 4334340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088739840).

4334340420 is an abundant number, since it is smaller than the sum of its proper divisors (9843139260).

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

4334340420 is a wasteful number, since it uses less digits than its factorization.

4334340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30986 (or 30981 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4334340420 is about 65835.7077884031. The cubic root of 4334340420 is about 1630.4507040263.

Adding to 4334340420 its reverse (240434334), we get a palindrome (4574774754).

The spelling of 4334340420 in words is "four billion, three hundred thirty-four million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1710 1845 2337 2460 3116 3420 3690 3895 4674 7011 7380 7790 9348 11685 14022 15580 23370 28044 30911 35055 46740 61822 70110 92733 123644 140220 154555 185466 278199 309110 370932 463665 556398 587309 618220 927330 1112796 1174618 1267351 1390995 1761927 1854660 2349236 2534702 2781990 2936545 3523854 3802053 5069404 5285781 5563980 5873090 6336755 7047708 7604106 8809635 10571562 11406159 11746180 12673510 15208212 17619270 19010265 21143124 22812318 24079669 25347020 26428905 35238540 38020530 45624636 48159338 52857810 57030795 72239007 76041060 96318676 105715620 114061590 120398345 144478014 216717021 228123180 240796690 288956028 361195035 433434042 481593380 722390070 866868084 1083585105 1444780140 2167170210 4334340420