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30405141 = 32133183101
BaseRepresentation
bin111001111111…
…1001000010101
32010012202000100
41303333020111
530240431031
63003404313
7516303504
oct163771025
963182010
1030405141
1116187918
12a223699
1363b7510
14407683b
152a08de6
hex1cff215

30405141 has 48 divisors (see below), whose sum is σ = 49900032. Its totient is φ = 17712000.

The previous prime is 30405139. The next prime is 30405161. The reversal of 30405141 is 14150403.

It is a happy number.

It is not a de Polignac number, because 30405141 - 21 = 30405139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30405101) 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, 300991 + ... + 301091.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 230405141 is an apocalyptic number.

30405141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30405141 is a deficient number, since it is larger than the sum of its proper divisors (19494891).

30405141 is a wasteful number, since it uses less digits than its factorization.

30405141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30405141 is about 5514.0856903026. The cubic root of 30405141 is about 312.1157423143.

Adding to 30405141 its reverse (14150403), we get a palindrome (44555544).

The spelling of 30405141 in words is "thirty million, four hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 13 31 39 83 93 101 117 249 279 303 403 747 909 1079 1209 1313 2573 3131 3237 3627 3939 7719 8383 9393 9711 11817 23157 25149 28179 33449 40703 75447 100347 108979 122109 259873 301041 326937 366327 779619 980811 2338857 3378349 10135047 30405141