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3423530880 = 273357113183
BaseRepresentation
bin1100110000001110…
…1110111110000000
322211120222101111000
43030003232332000
524002410442010
61323414052000
7150560350410
oct31403567600
98746871430
103423530880
1114a7548470
127b664a000
13427374423
14246974640
151508547c0
hexcc0eef80

3423530880 has 1024 divisors, whose sum is σ = 15792537600. Its totient is φ = 680140800.

The previous prime is 3423530879. The next prime is 3423530897. The reversal of 3423530880 is 880353243.

3423530880 is a `hidden beast` number, since 3 + 42 + 3 + 530 + 8 + 80 = 666.

It is a super-3 number, since 3×34235308803 (a number of 30 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41247319 + ... + 41247401.

It is an arithmetic number, because the mean of its divisors is an integer number (15422400).

Almost surely, 23423530880 is an apocalyptic number.

3423530880 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 3423530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

3423530880 is an abundant number, since it is smaller than the sum of its proper divisors (12369006720).

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

3423530880 is a wasteful number, since it uses less digits than its factorization.

3423530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

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

The square root of 3423530880 is about 58510.9466681236. The cubic root of 3423530880 is about 1507.1555709245.

The spelling of 3423530880 in words is "three billion, four hundred twenty-three million, five hundred thirty thousand, eight hundred eighty".