Search a number
-
+
3005705941 = 72341455341
BaseRepresentation
bin1011001100100111…
…0110111011010101
321202110202200102021
42303021312323111
522123430042231
61214130413141
7134325036040
oct26311667325
97673680367
103005705941
1113027083a7
126ba7311b1
1338b931734
1420728dc57
15128d1e811
hexb3276ed5

3005705941 has 16 divisors (see below), whose sum is σ = 3671877888. Its totient is φ = 2404195200.

The previous prime is 3005705939. The next prime is 3005705951. The reversal of 3005705941 is 1495075003.

It is a cyclic number.

It is not a de Polignac number, because 3005705941 - 21 = 3005705939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3005705897 and 3005705906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005705951) 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 15 ways as a sum of consecutive naturals, for example, 221070 + ... + 234271.

It is an arithmetic number, because the mean of its divisors is an integer number (229492368).

Almost surely, 23005705941 is an apocalyptic number.

It is an amenable number.

3005705941 is a deficient number, since it is larger than the sum of its proper divisors (666171947).

3005705941 is a wasteful number, since it uses less digits than its factorization.

3005705941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455412.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 3005705941 is about 54824.3188831380. The cubic root of 3005705941 is about 1443.1633679831.

The spelling of 3005705941 in words is "three billion, five million, seven hundred five thousand, nine hundred forty-one".

Divisors: 1 7 23 41 161 287 943 6601 455341 3187387 10472843 18668981 73309901 130682867 429386563 3005705941