Search a number
-
+
3006490608 = 243411316803
BaseRepresentation
bin1011001100110011…
…0110011111110000
321202112020112210000
42303030312133300
522124130144413
61214155310000
7134334514512
oct26314663760
97675215700
103006490608
1113030a3990
126baa4b300
1338bb47934
14207415bb2
15128e27073
hexb33367f0

3006490608 has 200 divisors, whose sum is σ = 9800372736. Its totient is φ = 881539200.

The previous prime is 3006490573. The next prime is 3006490621. The reversal of 3006490608 is 8060946003.

3006490608 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 49 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 438535 + ... + 445337.

Almost surely, 23006490608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006490608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900186368).

3006490608 is an abundant number, since it is smaller than the sum of its proper divisors (6793882128).

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

3006490608 is a wasteful number, since it uses less digits than its factorization.

3006490608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3006490608 is about 54831.4746108474. The cubic root of 3006490608 is about 1443.2889407178.

The spelling of 3006490608 in words is "three billion, six million, four hundred ninety thousand, six hundred eight".