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3228024240 = 2432572327847
BaseRepresentation
bin1100000001100111…
…1011110110110000
322022222002121210100
43000121323312300
523102333233430
61252151432400
7142664516250
oct30031736660
98288077710
103228024240
111407154431
12761085700
133c5a0141c
14228a01960
1513d5d6960
hexc067bdb0

3228024240 has 240 divisors, whose sum is σ = 12928601088. Its totient is φ = 705729024.

The previous prime is 3228024229. The next prime is 3228024251. The reversal of 3228024240 is 424208223.

3228024240 is a `hidden beast` number, since 322 + 80 + 24 + 240 = 666.

3228024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3228024229) and next prime (3228024251).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101997 + ... + 129843.

Almost surely, 23228024240 is an apocalyptic number.

3228024240 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 3228024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464300544).

3228024240 is an abundant number, since it is smaller than the sum of its proper divisors (9700576848).

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

3228024240 is a wasteful number, since it uses less digits than its factorization.

3228024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27896 (or 27887 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3228024240 is about 56815.7041670699. The cubic root of 3228024240 is about 1477.9018601640.

The spelling of 3228024240 in words is "three billion, two hundred twenty-eight million, twenty-four thousand, two hundred forty".