Search a number
-
+
3305405103 = 3721113157243
BaseRepresentation
bin1100010100000100…
…0111101010101111
322112100200222101020
43011001013222233
523232140430403
61303554145223
7144624323400
oct30501075257
98470628336
103305405103
1114468a6860
12782b82213
13408a55610
14234dc59a7
151452be453
hexc5047aaf

3305405103 has 48 divisors (see below), whose sum is σ = 6023074176. Its totient is φ = 1584999360.

The previous prime is 3305405041. The next prime is 3305405111. The reversal of 3305405103 is 3015045033.

It is a happy number.

3305405103 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3305405103 - 220 = 3304356527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305405113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57601 + ... + 99642.

It is an arithmetic number, because the mean of its divisors is an integer number (125480712).

Almost surely, 23305405103 is an apocalyptic number.

3305405103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3305405103 is a deficient number, since it is larger than the sum of its proper divisors (2717669073).

3305405103 is a wasteful number, since it uses less digits than its factorization.

3305405103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157284 (or 157277 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3305405103 is about 57492.6526001367. The cubic root of 3305405103 is about 1489.6179527370.

The spelling of 3305405103 in words is "three billion, three hundred five million, four hundred five thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 157243 471729 1100701 1729673 2044159 3302103 5189019 6132477 7704907 12107711 14309113 22485749 23114721 36323133 42927339 67457247 84753977 100163791 157400243 254261931 300491373 472200729 1101801701 3305405103