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3006674190 = 23251319314363
BaseRepresentation
bin1011001100110110…
…0011010100001110
321202112120212121100
42303031203110032
522124202033230
61214203243530
7134336210652
oct26315432416
97675525540
103006674190
111303209903
126bab195a6
1338bbb0370
14207462a62
15128e61660
hexb336350e

3006674190 has 192 divisors, whose sum is σ = 9149736960. Its totient is φ = 678378240.

The previous prime is 3006674137. The next prime is 3006674191. The reversal of 3006674190 is 914766003.

3006674190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30066741902 = 18080179369624312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006674191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 686949 + ... + 691311.

It is an arithmetic number, because the mean of its divisors is an integer number (47654880).

Almost surely, 23006674190 is an apocalyptic number.

3006674190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006674190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574868480).

3006674190 is an abundant number, since it is smaller than the sum of its proper divisors (6143062770).

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

3006674190 is a wasteful number, since it uses less digits than its factorization.

3006674190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3006674190 is about 54833.1486420395. The cubic root of 3006674190 is about 1443.3183167702.

The spelling of 3006674190 in words is "three billion, six million, six hundred seventy-four thousand, one hundred ninety".