Search a number
-
+
3349184302768 = 242353171717817
BaseRepresentation
bin110000101111001010111…
…100001100111010110000
3102212011211102010202120111
4300233022330030322300
5414333112140142033
611042332150551104
7463653623600233
oct60571274147260
912764742122514
103349184302768
111081421253687
12461117068494
131b3a99410835
14b815c2b541a
155c1bed6e7cd
hex30bcaf0ceb0

3349184302768 has 40 divisors (see below), whose sum is σ = 6898935055968. Its totient is φ = 1571561452032.

The previous prime is 3349184302577. The next prime is 3349184302769. The reversal of 3349184302768 is 8672034819433.

3349184302768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33491843027682 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3349184302769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85839405 + ... + 85878412.

Almost surely, 23349184302768 is an apocalyptic number.

It is an amenable number.

3349184302768 is an abundant number, since it is smaller than the sum of its proper divisors (3549750753200).

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

3349184302768 is a wasteful number, since it uses less digits than its factorization.

3349184302768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171717901 (or 171717895 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 3349184302768 in words is "three trillion, three hundred forty-nine billion, one hundred eighty-four million, three hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 4876 9752 19504 171717817 343435634 686871268 1373742536 2747485072 3949509791 7899019582 9101044301 15798039164 18202088602 31596078328 36404177204 63192156656 72808354408 145616708816 209324018923 418648037846 837296075692 1674592151384 3349184302768