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2334000000 = 27356389
BaseRepresentation
bin1000101100011110…
…0000001110000000
320000122211111002110
42023013200032000
514240001000000
61023333415320
7111560446503
oct21307401600
96018744073
102334000000
11a98533822
1255179a540
132b271a9b7
14181d9d13a
15d9d8a850
hex8b1e0380

2334000000 has 224 divisors, whose sum is σ = 7769431800. Its totient is φ = 620800000.

The previous prime is 2333999999. The next prime is 2334000001. The reversal of 2334000000 is 4332.

It is an interprime number because it is at equal distance from previous prime (2333999999) and next prime (2334000001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2334000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334000001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 5999806 + ... + 6000194.

Almost surely, 22334000000 is an apocalyptic number.

2334000000 is a gapful number since it is divisible by the number (20) 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 2334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884715900).

2334000000 is an abundant number, since it is smaller than the sum of its proper divisors (5435431800).

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

2334000000 is an frugal number, since it uses more digits than its factorization.

2334000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2334000000 is about 48311.4893167247. The cubic root of 2334000000 is about 1326.4787098801.

Adding to 2334000000 its reverse (4332), we get a palindrome (2334004332).

The spelling of 2334000000 in words is "two billion, three hundred thirty-four million", and thus it is an aban number.