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3134424300 = 22352717194621
BaseRepresentation
bin1011101011010011…
…1000010011101100
322002102222020210220
42322310320103230
522404403034200
61235005331340
7140450111160
oct27264702354
98072866726
103134424300
111369334407
12735866b50
133ac4bba47
1421a3d8ca0
151352984a0
hexbad384ec

3134424300 has 288 divisors, whose sum is σ = 11554260480. Its totient is φ = 638668800.

The previous prime is 3134424289. The next prime is 3134424343. The reversal of 3134424300 is 34244313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675990 + ... + 680610.

It is an arithmetic number, because the mean of its divisors is an integer number (40118960).

Almost surely, 23134424300 is an apocalyptic number.

3134424300 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 3134424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777130240).

3134424300 is an abundant number, since it is smaller than the sum of its proper divisors (8419836180).

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

3134424300 is a wasteful number, since it uses less digits than its factorization.

3134424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3134424300 is about 55985.9294823262. The cubic root of 3134424300 is about 1463.4770912375.

Adding to 3134424300 its reverse (34244313), we get a palindrome (3168668613).

The spelling of 3134424300 in words is "three billion, one hundred thirty-four million, four hundred twenty-four thousand, three hundred".