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20348307 = 3372331151
BaseRepresentation
bin100110110011…
…1110110010011
31102021210122000
41031213312103
520202121212
62004045043
7334646340
oct115476623
942253560
1020348307
1110538a91
126993783
1342a5b25
1429b97c7
151bbe1dc
hex1367d93

20348307 has 64 divisors (see below), whose sum is σ = 37355520. Its totient is φ = 10692000.

The previous prime is 20348287. The next prime is 20348309. The reversal of 20348307 is 70384302.

It is not a de Polignac number, because 20348307 - 27 = 20348179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20348309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134682 + ... + 134832.

It is an arithmetic number, because the mean of its divisors is an integer number (583680).

Almost surely, 220348307 is an apocalyptic number.

20348307 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20348307 is a deficient number, since it is larger than the sum of its proper divisors (17007213).

20348307 is a wasteful number, since it uses less digits than its factorization.

20348307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20348307 is about 4510.9097752006. The cubic root of 20348307 is about 273.0084528237.

The spelling of 20348307 in words is "twenty million, three hundred forty-eight thousand, three hundred seven".

Divisors: 1 3 7 9 21 23 27 31 63 69 93 151 161 189 207 217 279 453 483 621 651 713 837 1057 1359 1449 1953 2139 3171 3473 4077 4347 4681 4991 5859 6417 9513 10419 14043 14973 19251 24311 28539 31257 32767 42129 44919 72933 93771 98301 107663 126387 134757 218799 294903 322989 656397 753641 884709 968967 2260923 2906901 6782769 20348307