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3045064032 = 2532192931619
BaseRepresentation
bin1011010101111111…
…1111110101100000
321212012211021120100
42311133333311200
522214014022112
61222054142400
7135313421463
oct26537776540
97765737510
103045064032
11132294a74a
1270b951a00
13396b3204a
1420c5b72da
1512c4e62dc
hexb57ffd60

3045064032 has 288 divisors, whose sum is σ = 9749376000. Its totient is φ = 897039360.

The previous prime is 3045064031. The next prime is 3045064069. The reversal of 3045064032 is 2304605403.

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

It is a junction number, because it is equal to n+sod(n) for n = 3045063987 and 3045064005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045064031) 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, 4919019 + ... + 4919637.

It is an arithmetic number, because the mean of its divisors is an integer number (33852000).

Almost surely, 23045064032 is an apocalyptic number.

3045064032 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 3045064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

3045064032 is an abundant number, since it is smaller than the sum of its proper divisors (6704311968).

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

3045064032 is a wasteful number, since it uses less digits than its factorization.

3045064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3045064032 is about 55182.0988364886. The cubic root of 3045064032 is about 1449.4352191246.

Adding to 3045064032 its reverse (2304605403), we get a palindrome (5349669435).

The spelling of 3045064032 in words is "three billion, forty-five million, sixty-four thousand, thirty-two".