Search a number
-
+
3095064000 = 26335372389
BaseRepresentation
bin1011100001111010…
…1110110111000000
321222200220112122000
42320132232313000
522314314022000
61231041544000
7136461416130
oct27036566700
97880815560
103095064000
1113490a0436
12724645000
133a42ba422
142150b0ac0
15131ac1000
hexb87aedc0

3095064000 has 896 divisors, whose sum is σ = 13694054400. Its totient is φ = 669081600.

The previous prime is 3095063999. The next prime is 3095064017. The reversal of 3095064000 is 4605903.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34775956 + ... + 34776044.

Almost surely, 23095064000 is an apocalyptic number.

3095064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3095064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

3095064000 is an abundant number, since it is smaller than the sum of its proper divisors (10598990400).

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

3095064000 is a wasteful number, since it uses less digits than its factorization.

3095064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3095064000 is about 55633.2993808564. The cubic root of 3095064000 is about 1457.3254343642.

Adding to 3095064000 its reverse (4605903), we get a palindrome (3099669903).

The spelling of 3095064000 in words is "three billion, ninety-five million, sixty-four thousand".