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3430490112 = 21332717223
BaseRepresentation
bin1100110001111001…
…0010000000000000
322212002001221202100
43030132102000000
524011201140422
61324223150400
7151003453620
oct31436220000
98762057670
103430490112
111500470aa5
127b8a45400
1342893cc0a
14247866880
1515127b7ac
hexcc792000

3430490112 has 504 divisors, whose sum is σ = 12553834176. Its totient is φ = 882376704.

The previous prime is 3430490099. The next prime is 3430490171. The reversal of 3430490112 is 2110940343.

3430490112 is a `hidden beast` number, since 34 + 30 + 490 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149151733 + ... + 149151755.

Almost surely, 23430490112 is an apocalyptic number.

3430490112 is a gapful number since it is divisible by the number (32) 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 3430490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276917088).

3430490112 is an abundant number, since it is smaller than the sum of its proper divisors (9123344064).

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

3430490112 is a wasteful number, since it uses less digits than its factorization.

3430490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3430490112 is about 58570.3859642396. The cubic root of 3430490112 is about 1508.1761105057.

The spelling of 3430490112 in words is "three billion, four hundred thirty million, four hundred ninety thousand, one hundred twelve".