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3040128000 = 210325371329
BaseRepresentation
bin1011010100110100…
…1010110000000000
321211212112111121100
42311031022300000
522211233044000
61221400254400
7135223442640
oct26515126000
97755474540
103040128000
111320089188
1270a171400
13395ac4410
1420ba90520
1512bd6da00
hexb534ac00

3040128000 has 1056 divisors, whose sum is σ = 13948421760. Its totient is φ = 619315200.

The previous prime is 3040127963. The next prime is 3040128001. The reversal of 3040128000 is 8210403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040128001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104831986 + ... + 104832014.

Almost surely, 23040128000 is an apocalyptic number.

3040128000 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 3040128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974210880).

3040128000 is an abundant number, since it is smaller than the sum of its proper divisors (10908293760).

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

3040128000 is a wasteful number, since it uses less digits than its factorization.

3040128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3040128000 is about 55137.3557581428. The cubic root of 3040128000 is about 1448.6516200702.

Adding to 3040128000 its reverse (8210403), we get a palindrome (3048338403).

The spelling of 3040128000 in words is "three billion, forty million, one hundred twenty-eight thousand".