Search a number
-
+
3348120093 = 319297925639
BaseRepresentation
bin1100011110010000…
…0100001000011101
322122100002010022220
43013210010020131
523324104320333
61312121455553
7145653360033
oct30744041035
98570063286
103348120093
111468a211aa
127953415b9
1341485cb66
1423a944553
15148e0a8b3
hexc790421d

3348120093 has 32 divisors (see below), whose sum is σ = 4922880000. Its totient is φ = 2015762112.

The previous prime is 3348120089. The next prime is 3348120109. The reversal of 3348120093 is 3900218433.

It is a happy number.

It is not a de Polignac number, because 3348120093 - 22 = 3348120089 is a prime.

It is a super-3 number, since 3×33481200933 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348120073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117768 + ... + 143406.

It is an arithmetic number, because the mean of its divisors is an integer number (153840000).

Almost surely, 23348120093 is an apocalyptic number.

It is an amenable number.

3348120093 is a deficient number, since it is larger than the sum of its proper divisors (1574759907).

3348120093 is a wasteful number, since it uses less digits than its factorization.

3348120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25769.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3348120093 is about 57862.9423119841. The cubic root of 3348120093 is about 1496.0071725387.

The spelling of 3348120093 in words is "three billion, three hundred forty-eight million, one hundred twenty thousand, ninety-three".

Divisors: 1 3 19 29 57 79 87 237 551 1501 1653 2291 4503 6873 25639 43529 76917 130587 487141 743531 1461423 2025481 2230593 6076443 14127089 38484139 42381267 58738949 115452417 176216847 1116040031 3348120093