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3054947040 = 2532543103479
BaseRepresentation
bin1011011000010110…
…1100101011100000
321212220102101111200
42312011230223200
522224031301130
61223050041200
7135463423065
oct26605545340
97786371450
103054947040
11132848aa22
12713119200
13398bb2592
1420da2ac6c
1512d2e9760
hexb616cae0

3054947040 has 288 divisors, whose sum is σ = 10793502720. Its totient is φ = 786336768.

The previous prime is 3054947011. The next prime is 3054947047. The reversal of 3054947040 is 407494503.

3054947040 is a `hidden beast` number, since 3 + 0 + 549 + 4 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3054946986 and 3054947004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3054947047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6377521 + ... + 6377999.

It is an arithmetic number, because the mean of its divisors is an integer number (37477440).

Almost surely, 23054947040 is an apocalyptic number.

3054947040 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 3054947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396751360).

3054947040 is an abundant number, since it is smaller than the sum of its proper divisors (7738555680).

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

3054947040 is a wasteful number, since it uses less digits than its factorization.

3054947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3054947040 is about 55271.5753348862. The cubic root of 3054947040 is about 1451.0016131509.

The spelling of 3054947040 in words is "three billion, fifty-four million, nine hundred forty-seven thousand, forty".