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3489020160 = 283517192997
BaseRepresentation
bin1100111111110110…
…0011100100000000
3100000011012120212220
43033331203210000
524121142121120
61334113451040
7152314116303
oct31775434400
910004176786
103489020160
11153050853a
12814570a80
13437ac3a92
14251540b3a
1515648db40
hexcff63900

3489020160 has 576 divisors, whose sum is σ = 12980217600. Its totient is φ = 792723456.

The previous prime is 3489020153. The next prime is 3489020201. The reversal of 3489020160 is 610209843.

3489020160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35969232 + ... + 35969328.

It is an arithmetic number, because the mean of its divisors is an integer number (22535100).

Almost surely, 23489020160 is an apocalyptic number.

3489020160 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 3489020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490108800).

3489020160 is an abundant number, since it is smaller than the sum of its proper divisors (9491197440).

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

3489020160 is a wasteful number, since it uses less digits than its factorization.

3489020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3489020160 is about 59067.9283537183. The cubic root of 3489020160 is about 1516.7051437058.

The spelling of 3489020160 in words is "three billion, four hundred eighty-nine million, twenty thousand, one hundred sixty".