Search a number
-
+
334640616033 = 38317311037043
BaseRepresentation
bin1001101111010100010…
…00101001001001100001
31011222202200100122120010
410313222020221021201
520440320444203113
6413422021435133
733114464206113
oct4675210511141
91158680318503
10334640616033
11119a139a3899
1254a3256baa9
1325730762049
14122a7a1b3b3
158a889001c3
hex4dea229261

334640616033 has 32 divisors (see below), whose sum is σ = 454649739264. Its totient is φ = 218902091072.

The previous prime is 334640615951. The next prime is 334640616041. The reversal of 334640616033 is 330616046433.

It is a cyclic number.

It is not a de Polignac number, because 334640616033 - 218 = 334640353889 is a prime.

It is a super-2 number, since 2×3346406160332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334640615982 and 334640616000.

It is not an unprimeable number, because it can be changed into a prime (334640116033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47510410 + ... + 47517452.

It is an arithmetic number, because the mean of its divisors is an integer number (14207804352).

Almost surely, 2334640616033 is an apocalyptic number.

It is an amenable number.

334640616033 is a deficient number, since it is larger than the sum of its proper divisors (120009123231).

334640616033 is a wasteful number, since it uses less digits than its factorization.

334640616033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405.

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 334640616033 in words is "three hundred thirty-four billion, six hundred forty million, six hundred sixteen thousand, thirty-three".

Divisors: 1 3 83 173 249 519 1103 3309 7043 14359 21129 43077 91549 190819 274647 572457 584569 1218439 1753707 3655317 7768429 15837977 23305287 47513931 101130437 303391311 644779607 1343938217 1934338821 4031814651 111546872011 334640616033