Search a number
-
+
4348739661 = 372414491607
BaseRepresentation
bin1000000110011010…
…01000000001001101
3102020001220212022220
410003031020001031
532401234132121
61555304325553
7212523451200
oct40315100115
912201825286
104348739661
111931828522
12a144738b9
13543c56046
142d37b3937
151a6bb06c6
hex10334804d

4348739661 has 48 divisors (see below), whose sum is σ = 6929193600. Its totient is φ = 2417479680.

The previous prime is 4348739657. The next prime is 4348739663. The reversal of 4348739661 is 1669378434.

It is not a de Polignac number, because 4348739661 - 22 = 4348739657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348739663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705320 + ... + 2706926.

It is an arithmetic number, because the mean of its divisors is an integer number (144358200).

Almost surely, 24348739661 is an apocalyptic number.

4348739661 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4348739661 is a deficient number, since it is larger than the sum of its proper divisors (2580453939).

4348739661 is a wasteful number, since it uses less digits than its factorization.

4348739661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2107 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 4348739661 is about 65944.9744938915. The cubic root of 4348739661 is about 1632.2542312124.

The spelling of 4348739661 in words is "four billion, three hundred forty-eight million, seven hundred thirty-nine thousand, six hundred sixty-one".

Divisors: 1 3 7 21 41 49 123 147 287 449 861 1347 1607 2009 3143 4821 6027 9429 11249 18409 22001 33747 55227 65887 66003 78743 128863 197661 236229 386589 461209 721543 902041 1383627 2164629 2706123 3228463 5050801 9685389 15152403 29583263 35355607 88749789 106066821 207082841 621248523 1449579887 4348739661