Search a number
-
+
3034314129 = 371115438513
BaseRepresentation
bin1011010011011011…
…1111010110010001
321211110121010110210
42310312333112101
522203241023004
61221031514333
7135123146610
oct26466772621
97743533423
103034314129
111317878130
127082289a9
1339483a062
1420adb9877
1512b5c1089
hexb4dbf591

3034314129 has 32 divisors (see below), whose sum is σ = 5047916544. Its totient is φ = 1575060480.

The previous prime is 3034314103. The next prime is 3034314163. The reversal of 3034314129 is 9214134303.

It is not a de Polignac number, because 3034314129 - 219 = 3033789841 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3034314096 and 3034314105.

It is not an unprimeable number, because it can be changed into a prime (3034314229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352177 + ... + 360689.

It is an arithmetic number, because the mean of its divisors is an integer number (157747392).

Almost surely, 23034314129 is an apocalyptic number.

It is an amenable number.

3034314129 is a deficient number, since it is larger than the sum of its proper divisors (2013602415).

3034314129 is a wasteful number, since it uses less digits than its factorization.

3034314129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3034314129 is about 55084.6088213396. The cubic root of 3034314129 is about 1447.7275747440.

The spelling of 3034314129 in words is "three billion, thirty-four million, three hundred fourteen thousand, one hundred twenty-nine".

Divisors: 1 3 7 11 21 33 77 231 1543 4629 8513 10801 16973 25539 32403 50919 59591 93643 118811 178773 280929 356433 655501 1966503 13135559 39406677 91948913 144491149 275846739 433473447 1011438043 3034314129