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3428516160 = 263852371
BaseRepresentation
bin1100110001011011…
…0000000101000000
322211221100200000000
43030112300011000
524010200004120
61324113000000
7150650622636
oct31426600500
98757320000
103428516160
1114aa342a33
127b8253000
134283cb5b4
142474b1356
15150edb990
hexcc5b0140

3428516160 has 504 divisors, whose sum is σ = 12957998976. Its totient is φ = 862202880.

The previous prime is 3428516153. The next prime is 3428516167. The reversal of 3428516160 is 616158243.

It is a happy number.

3428516160 is a `hidden beast` number, since 34 + 2 + 8 + 5 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3428516153) and next prime (3428516167).

It is a super-2 number, since 2×34285161602 = 23509446118762291200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428516167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48288925 + ... + 48288995.

Almost surely, 23428516160 is an apocalyptic number.

3428516160 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 3428516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478999488).

3428516160 is an abundant number, since it is smaller than the sum of its proper divisors (9529482816).

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

3428516160 is an frugal number, since it uses more digits than its factorization.

3428516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3428516160 is about 58553.5324297348. The cubic root of 3428516160 is about 1507.8867797929.

The spelling of 3428516160 in words is "three billion, four hundred twenty-eight million, five hundred sixteen thousand, one hundred sixty".