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4342993920 = 2103253072
BaseRepresentation
bin1000000101101110…
…01101010000000000
3102012200002221122200
410002313031100000
532343301301140
61554541233200
7212423560566
oct40267152000
912180087580
104342993920
111929563681
12a12562800
135429c39b5
142d2b19a36
151a6428030
hex102dcd400

4342993920 has 198 divisors, whose sum is σ = 15097537962. Its totient is φ = 1154359296.

The previous prime is 4342993909. The next prime is 4342993987. The reversal of 4342993920 is 293992434.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3474395136 + 868598784 = 58944^2 + 29472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14146407 + ... + 14146713.

Almost surely, 24342993920 is an apocalyptic number.

4342993920 is a gapful number since it is divisible by the number (40) 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 4342993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548768981).

4342993920 is an abundant number, since it is smaller than the sum of its proper divisors (10754544042).

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

4342993920 is an equidigital number, since it uses as much as digits as its factorization.

4342993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4342993920 is about 65901.3954328738. The cubic root of 4342993920 is about 1631.5350463256.

Multiplying 4342993920 by its sum of digits (45), we get a square (195434726400 = 4420802).

4342993920 divided by its sum of digits (45) gives a square (96510976 = 98242).

The spelling of 4342993920 in words is "four billion, three hundred forty-two million, nine hundred ninety-three thousand, nine hundred twenty".