Search a number
-
+
4304930112 = 26337479743
BaseRepresentation
bin1000000001001100…
…00000010101000000
3102010000111002221000
410000212000111000
532304030230422
61551101332000
7211452205440
oct40046002500
912100432830
104304930112
11190a02578a
12a01867000
13537b57532
142cba4c120
151a2e09cac
hex100980540

4304930112 has 224 divisors, whose sum is σ = 14513356800. Its totient is φ = 1225760256.

The previous prime is 4304930101. The next prime is 4304930117. The reversal of 4304930112 is 2110394034.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4304930117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5793613 + ... + 5794355.

Almost surely, 24304930112 is an apocalyptic number.

4304930112 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 4304930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256678400).

4304930112 is an abundant number, since it is smaller than the sum of its proper divisors (10208426688).

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

4304930112 is a wasteful number, since it uses less digits than its factorization.

4304930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

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

The square root of 4304930112 is about 65611.9662256817. The cubic root of 4304930112 is about 1626.7545686919.

The spelling of 4304930112 in words is "four billion, three hundred four million, nine hundred thirty thousand, one hundred twelve".