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4306442112 = 2736719347
BaseRepresentation
bin1000000001010111…
…10001011110000000
3102010010022221000000
410000223301132000
532304422121422
61551154000000
7211501103550
oct40053613600
912103287000
104306442112
11190a968775
12a02276000
135382667cb
142cbd23160
151a3107cac
hex100af1780

4306442112 has 448 divisors, whose sum is σ = 15518851200. Its totient is φ = 1162294272.

The previous prime is 4306442089. The next prime is 4306442123. The reversal of 4306442112 is 2112446034.

It is a happy number.

4306442112 is a `hidden beast` number, since 4 + 3 + 0 + 644 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410323 + ... + 12410669.

Almost surely, 24306442112 is an apocalyptic number.

4306442112 is a gapful number since it is divisible by the number (42) 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 4306442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759425600).

4306442112 is an abundant number, since it is smaller than the sum of its proper divisors (11212409088).

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

4306442112 is an equidigital number, since it uses as much as digits as its factorization.

4306442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4306442112 is about 65623.4875025703. The cubic root of 4306442112 is about 1626.9449988062.

Adding to 4306442112 its reverse (2112446034), we get a palindrome (6418888146).

The spelling of 4306442112 in words is "four billion, three hundred six million, four hundred forty-two thousand, one hundred twelve".