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4334000000 = 275611197
BaseRepresentation
bin1000000100101001…
…11001011110000000
3102012001012000022112
410002110321132000
532334001000000
61554020354452
7212254251341
oct40224713600
912161160275
104334000000
111924480390
12a0b545a28
13540b95055
142d18580c8
151a574d235
hex102539780

4334000000 has 224 divisors, whose sum is σ = 11833442280. Its totient is φ = 1568000000.

The previous prime is 4333999973. The next prime is 4334000003. The reversal of 4334000000 is 4334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21999902 + ... + 22000098.

Almost surely, 24334000000 is an apocalyptic number.

4334000000 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 4334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916721140).

4334000000 is an abundant number, since it is smaller than the sum of its proper divisors (7499442280).

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

4334000000 is an frugal number, since it uses more digits than its factorization.

4334000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4334000000 is about 65833.1223625312. The cubic root of 4334000000 is about 1630.4080175961.

Adding to 4334000000 its reverse (4334), we get a palindrome (4334004334).

Multiplying 4334000000 by its reverse (4334), we get a square (18783556000000 = 43340002).

4334000000 divided by its reverse (4334) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 43 and 34000000, that added together give a palindrome (34000043).

The spelling of 4334000000 in words is "four billion, three hundred thirty-four million", and thus it is an aban number.