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3054876672 = 21134771149
BaseRepresentation
bin1011011000010101…
…1011100000000000
321212220021210222110
42312011123200000
522224022023142
61223044335320
7135463010661
oct26605334000
97786253873
103054876672
111328442071
127130a4540
13398b89543
1420da0d368
1512d2d399c
hexb615b800

3054876672 has 192 divisors, whose sum is σ = 8491392000. Its totient is φ = 975994880.

The previous prime is 3054876647. The next prime is 3054876701. The reversal of 3054876672 is 2766784503.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×30548766723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20502454 + ... + 20502602.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 23054876672 is an apocalyptic number.

3054876672 is a gapful number since it is divisible by the number (32) 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 3054876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

3054876672 is an abundant number, since it is smaller than the sum of its proper divisors (5436515328).

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

3054876672 is a wasteful number, since it uses less digits than its factorization.

3054876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 3054876672 is about 55270.9387653222. The cubic root of 3054876672 is about 1450.9904722196.

The spelling of 3054876672 in words is "three billion, fifty-four million, eight hundred seventy-six thousand, six hundred seventy-two".