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3425348160 = 2632513191479
BaseRepresentation
bin1100110000101010…
…1010101001000000
322211201101201022200
43030022222221000
524003342120120
61323521033200
7150611656533
oct31412525100
98751351280
103425348160
1114a8579853
127b7185800
1342785c640
14246cc8a1a
15150ab2e90
hexcc2aaa40

3425348160 has 336 divisors, whose sum is σ = 12781117440. Its totient is φ = 836997120.

The previous prime is 3425348153. The next prime is 3425348161. The reversal of 3425348160 is 618435243.

3425348160 is a `hidden beast` number, since 3 + 42 + 534 + 81 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3425348161) 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, 7150801 + ... + 7151279.

It is an arithmetic number, because the mean of its divisors is an integer number (38039040).

Almost surely, 23425348160 is an apocalyptic number.

3425348160 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 3425348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3425348160 is an abundant number, since it is smaller than the sum of its proper divisors (9355769280).

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

3425348160 is a wasteful number, since it uses less digits than its factorization.

3425348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3425348160 is about 58526.4740096309. The cubic root of 3425348160 is about 1507.4222000558.

The spelling of 3425348160 in words is "three billion, four hundred twenty-five million, three hundred forty-eight thousand, one hundred sixty".