Search a number
-
+
334133013340 = 225790714531811
BaseRepresentation
bin1001101110010111110…
…00010010101101011100
31011221110022012202120101
410313023320102231130
520433301022411330
6413255410030444
733066061515640
oct4671370225534
91157408182511
10334133013340
11119783414435
1254910578424
132567c547619
141225a446c20
158a590844ca
hex4dcbe12b5c

334133013340 has 96 divisors (see below), whose sum is σ = 803799489024. Its totient is φ = 114291682560.

The previous prime is 334133013287. The next prime is 334133013353. The reversal of 334133013340 is 43310331433.

It is a super-2 number, since 2×3341330133402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 334133013299 and 334133013308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184501035 + ... + 184502845.

It is an arithmetic number, because the mean of its divisors is an integer number (8372911344).

Almost surely, 2334133013340 is an apocalyptic number.

It is an amenable number.

334133013340 is an abundant number, since it is smaller than the sum of its proper divisors (469666475684).

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

334133013340 is a wasteful number, since it uses less digits than its factorization.

334133013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 334133013340 its reverse (43310331433), we get a palindrome (377443344773).

The spelling of 334133013340 in words is "three hundred thirty-four billion, one hundred thirty-three million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 907 1453 1811 1814 2906 3622 3628 4535 5812 6349 7244 7265 9055 9070 10171 12677 12698 14530 18110 18140 20342 25354 25396 29060 31745 36220 40684 50708 50855 63385 63490 101710 126770 126980 203420 253540 1317871 1642577 2631383 2635742 3285154 5262766 5271484 6570308 6589355 8212885 9225097 10525532 11498039 13156915 13178710 16425770 18419681 18450194 22996078 26313830 26357420 32851540 36839362 36900388 45992156 46125485 52627660 57490195 73678724 92098405 92250970 114980390 184196810 184501940 229960780 368393620 2386664381 4773328762 9546657524 11933321905 16706650667 23866643810 33413301334 47733287620 66826602668 83533253335 167066506670 334133013340