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3134344239 = 3213891811663
BaseRepresentation
bin1011101011010010…
…0100110000101111
322002102211011222200
42322310210300233
522404343003424
61235003512543
7140446325565
oct27264446057
98072734880
103134344239
11136928a244
12735828753
133ac491480
1421a3b7a35
1513527e8c9
hexbad24c2f

3134344239 has 48 divisors (see below), whose sum is σ = 4960650240. Its totient is φ = 1895477760.

The previous prime is 3134344231. The next prime is 3134344303. The reversal of 3134344239 is 9324434313.

It is not a de Polignac number, because 3134344239 - 23 = 3134344231 is a prime.

It is a super-2 number, since 2×31343442392 = 19648227617104978242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134344231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1883922 + ... + 1885584.

It is an arithmetic number, because the mean of its divisors is an integer number (103346880).

Almost surely, 23134344239 is an apocalyptic number.

3134344239 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3134344239 is a deficient number, since it is larger than the sum of its proper divisors (1826306001).

3134344239 is a wasteful number, since it uses less digits than its factorization.

3134344239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1949 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3134344239 is about 55985.2144677503. The cubic root of 3134344239 is about 1463.4646308486.

The spelling of 3134344239 in words is "three billion, one hundred thirty-four million, three hundred forty-four thousand, two hundred thirty-nine".

Divisors: 1 3 9 13 39 89 117 181 267 543 801 1157 1629 1663 2353 3471 4989 7059 10413 14967 16109 21177 21619 48327 64857 144981 148007 194571 209417 301003 444021 628251 903009 1332063 1884753 1924091 2709027 3913039 5772273 11739117 17316819 26789267 35217351 80367801 241103403 348260471 1044781413 3134344239