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3045696480 = 253254179653
BaseRepresentation
bin1011010110001001…
…1010001111100000
321212021000102010100
42311202122033200
522214144241410
61222115502400
7135321664401
oct26542321740
97767012110
103045696480
111323241932
1270bbb7a00
13396cc3b88
1420c6dd9a8
1512c5bd8c0
hexb589a3e0

3045696480 has 288 divisors, whose sum is σ = 10798220160. Its totient is φ = 781148160.

The previous prime is 3045696473. The next prime is 3045696481. The reversal of 3045696480 is 846965403.

3045696480 is a `hidden beast` number, since 3 + 0 + 4 + 569 + 6 + 4 + 80 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045696481) 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, 4663834 + ... + 4664486.

It is an arithmetic number, because the mean of its divisors is an integer number (37493820).

Almost surely, 23045696480 is an apocalyptic number.

3045696480 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 3045696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399110080).

3045696480 is an abundant number, since it is smaller than the sum of its proper divisors (7752523680).

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

3045696480 is a wasteful number, since it uses less digits than its factorization.

3045696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3045696480 is about 55187.8290930165. The cubic root of 3045696480 is about 1449.5355595376.

The spelling of 3045696480 in words is "three billion, forty-five million, six hundred ninety-six thousand, four hundred eighty".