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3027540672 = 263313307439
BaseRepresentation
bin1011010001110100…
…1001101011000000
321210222212000001000
42310131021223000
522200022300142
61220230412000
7135011446122
oct26435115300
97728760030
103027540672
111313a71132
12705b01000
13393307cb0
1420a135212
1512abd414c
hexb4749ac0

3027540672 has 224 divisors, whose sum is σ = 9638182400. Its totient is φ = 926401536.

The previous prime is 3027540671. The next prime is 3027540683. The reversal of 3027540672 is 2760457203.

It is a happy number.

3027540672 is a `hidden beast` number, since 30 + 27 + 540 + 67 + 2 = 666.

It is a super-3 number, since 3×30275406723 (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 (36).

It is not an unprimeable number, because it can be changed into a prime (3027540671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6896229 + ... + 6896667.

It is an arithmetic number, because the mean of its divisors is an integer number (43027600).

Almost surely, 23027540672 is an apocalyptic number.

3027540672 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 3027540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819091200).

3027540672 is an abundant number, since it is smaller than the sum of its proper divisors (6610641728).

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

3027540672 is a wasteful number, since it uses less digits than its factorization.

3027540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3027540672 is about 55023.0921704697. The cubic root of 3027540672 is about 1446.6495248334.

Adding to 3027540672 its reverse (2760457203), we get a palindrome (5787997875).

The spelling of 3027540672 in words is "three billion, twenty-seven million, five hundred forty thousand, six hundred seventy-two".