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3425703840 = 253451320333
BaseRepresentation
bin1100110000110000…
…0001011110100000
322211202001210020000
43030030001132200
524003440010330
61323532420000
7150615000516
oct31414013640
98752053200
103425703840
1114a87a1aa9
127b7317600
134279554c0
14246d7c4b6
15150b33560
hexcc3017a0

3425703840 has 240 divisors, whose sum is σ = 13020510888. Its totient is φ = 843208704.

The previous prime is 3425703839. The next prime is 3425703893. The reversal of 3425703840 is 483075243.

It is a happy number.

3425703840 is a `hidden beast` number, since 3 + 4 + 2 + 570 + 3 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3006109584 + 419594256 = 54828^2 + 20484^2 .

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

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 = 3425703795 and 3425703804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158314 + ... + 178646.

Almost surely, 23425703840 is an apocalyptic number.

3425703840 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 3425703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510255444).

3425703840 is an abundant number, since it is smaller than the sum of its proper divisors (9594807048).

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

3425703840 is a wasteful number, since it uses less digits than its factorization.

3425703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20373 (or 20356 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3425703840 is about 58529.5125556330. The cubic root of 3425703840 is about 1507.4743739611.

The spelling of 3425703840 in words is "three billion, four hundred twenty-five million, seven hundred three thousand, eight hundred forty".