Search a number
-
+
3004442334 = 233173272813
BaseRepresentation
bin1011001100010100…
…0010011011011110
321202101101111002000
42303011002123132
522123114123314
61214043343130
7134311224045
oct26305023336
97671344060
103004442334
111301a24aa3
126ba221aa6
1338b5ab53a
1420704155c
15128b70209
hexb31426de

3004442334 has 32 divisors (see below), whose sum is σ = 7069278240. Its totient is φ = 942569856.

The previous prime is 3004442297. The next prime is 3004442347. The reversal of 3004442334 is 4332444003.

3004442334 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3004442298 and 3004442307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635489 + ... + 1637324.

It is an arithmetic number, because the mean of its divisors is an integer number (220914945).

Almost surely, 23004442334 is an apocalyptic number.

3004442334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3004442334 is an abundant number, since it is smaller than the sum of its proper divisors (4064835906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3004442334 is a wasteful number, since it uses less digits than its factorization.

3004442334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272841 (or 3272835 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3004442334 is about 54812.7935248697. The cubic root of 3004442334 is about 1442.9611030270.

Adding to 3004442334 its reverse (4332444003), we get a palindrome (7336886337).

The spelling of 3004442334 in words is "three billion, four million, four hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 3272813 6545626 9818439 19636878 29455317 55637821 58910634 88365951 111275642 166913463 176731902 333826926 500740389 1001480778 1502221167 3004442334