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3045832416 = 2533112943257
BaseRepresentation
bin1011010110001011…
…1011011011100000
321212021021022121000
42311202323123200
522214213114131
61222122432000
7135323101614
oct26542733340
97767238530
103045832416
111323324a80
12710062600
13397040a03
1420c737344
1512c5e8ce6
hexb58bb6e0

3045832416 has 384 divisors, whose sum is σ = 10298534400. Its totient is φ = 867041280.

The previous prime is 3045832409. The next prime is 3045832451. The reversal of 3045832416 is 6142385403.

3045832416 is a `hidden beast` number, since 30 + 4 + 583 + 2 + 41 + 6 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11851360 + ... + 11851616.

It is an arithmetic number, because the mean of its divisors is an integer number (26819100).

Almost surely, 23045832416 is an apocalyptic number.

3045832416 is a gapful number since it is divisible by the number (36) 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 3045832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149267200).

3045832416 is an abundant number, since it is smaller than the sum of its proper divisors (7252701984).

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

3045832416 is a wasteful number, since it uses less digits than its factorization.

3045832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3045832416 is about 55189.0606551697. The cubic root of 3045832416 is about 1449.5571245158.

The spelling of 3045832416 in words is "three billion, forty-five million, eight hundred thirty-two thousand, four hundred sixteen".