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3069066000 = 2435372111373
BaseRepresentation
bin1011011011101110…
…0011101100010000
321220212222201002010
42312323203230100
522241140103000
61224312422520
7136024426200
oct26673435420
97825881063
103069066000
111335453790
127179a7a40
1339bab6bb0
14211864400
1512e687d50
hexb6ee3b10

3069066000 has 960 divisors, whose sum is σ = 13707622656. Its totient is φ = 580608000.

The previous prime is 3069065963. The next prime is 3069066001. The reversal of 3069066000 is 6609603.

It is a super-2 number, since 2×30690660002 = 18838332224712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3069066001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 42041964 + ... + 42042036.

Almost surely, 23069066000 is an apocalyptic number.

3069066000 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 3069066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853811328).

3069066000 is an abundant number, since it is smaller than the sum of its proper divisors (10638556656).

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

3069066000 is a wasteful number, since it uses less digits than its factorization.

3069066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3069066000 is about 55399.1516180528. The cubic root of 3069066000 is about 1453.2335289504.

The spelling of 3069066000 in words is "three billion, sixty-nine million, sixty-six thousand".