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1347114027 = 37271337383
BaseRepresentation
bin101000001001011…
…0101010000101011
310110212211111001010
41100102311100223
510224330122102
6341401155003
745245165100
oct12022652053
93425744033
101347114027
11631457786
1231718ba63
131861228bc
14caca6aa7
157d3e9d6c
hex504b542b

1347114027 has 48 divisors (see below), whose sum is σ = 2130665472. Its totient is φ = 754709760.

The previous prime is 1347114001. The next prime is 1347114037. The reversal of 1347114027 is 7204117431.

It is not a de Polignac number, because 1347114027 - 27 = 1347113899 is a prime.

It is a super-3 number, since 3×13471140273 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1347113985 and 1347114003.

It is not an unprimeable number, because it can be changed into a prime (1347114037) 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 47 ways as a sum of consecutive naturals, for example, 3517078 + ... + 3517460.

It is an arithmetic number, because the mean of its divisors is an integer number (44388864).

Almost surely, 21347114027 is an apocalyptic number.

1347114027 is a deficient number, since it is larger than the sum of its proper divisors (783551445).

1347114027 is a wasteful number, since it uses less digits than its factorization.

1347114027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1347114027 is about 36703.0520120603. The cubic root of 1347114027 is about 1104.4213310239.

The spelling of 1347114027 in words is "one billion, three hundred forty-seven million, one hundred fourteen thousand, twenty-seven".

Divisors: 1 3 7 21 49 71 147 213 337 383 497 1011 1149 1491 2359 2681 3479 7077 8043 10437 16513 18767 23927 27193 49539 56301 71781 81579 129071 167489 190351 387213 502467 571053 903497 1172423 1332457 2710491 3517269 3997371 6324479 9164041 18973437 27492123 64148287 192444861 449038009 1347114027