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4340700000 = 25325571353
BaseRepresentation
bin1000000101011100…
…11101001101100000
3102012111210101222200
410002232131031200
532342204400000
61554420133200
7212365225020
oct40256351540
912174711880
104340700000
11192823717a
12a11837200
1354239c850
142d26bda80
151a6123500
hex102b9d360

4340700000 has 864 divisors, whose sum is σ = 19347636672. Its totient is φ = 898560000.

The previous prime is 4340699999. The next prime is 4340700041. The reversal of 4340700000 is 70434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81899974 + ... + 81900026.

It is an arithmetic number, because the mean of its divisors is an integer number (22393098).

Almost surely, 24340700000 is an apocalyptic number.

4340700000 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 4340700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673818336).

4340700000 is an abundant number, since it is smaller than the sum of its proper divisors (15006936672).

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

4340700000 is a wasteful number, since it uses less digits than its factorization.

4340700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4340700000 is about 65883.9889502753. The cubic root of 4340700000 is about 1631.2477429836.

Adding to 4340700000 its reverse (70434), we get a palindrome (4340770434).

The spelling of 4340700000 in words is "four billion, three hundred forty million, seven hundred thousand".