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3028278240 = 2532513831949
BaseRepresentation
bin1011010001111111…
…1101101111100000
321211001020110210100
42310133331233200
522200214400430
61220254302400
7135020640351
oct26437755740
97731213710
103028278240
111314425299
127061b7a00
13393505920
1420a287d28
1512accc960
hexb47fdbe0

3028278240 has 288 divisors, whose sum is σ = 11268784800. Its totient is φ = 736063488.

The previous prime is 3028278217. The next prime is 3028278241. The reversal of 3028278240 is 428728203.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3028278195 and 3028278204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028278241) 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, 1552786 + ... + 1554734.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 23028278240 is an apocalyptic number.

3028278240 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 3028278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634392400).

3028278240 is an abundant number, since it is smaller than the sum of its proper divisors (8240506560).

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

3028278240 is a wasteful number, since it uses less digits than its factorization.

3028278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3028278240 is about 55029.7941119172. The cubic root of 3028278240 is about 1446.7669926482.

The spelling of 3028278240 in words is "three billion, twenty-eight million, two hundred seventy-eight thousand, two hundred forty".