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4434063700 = 2252116436269
BaseRepresentation
bin1000010000100101…
…00111000101010100
3102110000110202220111
410020102213011110
533040110014300
62011553212404
7214610630263
oct41022470524
912400422814
104434063700
111975a05760
12a38b61104
1355882b841
14300c645da
151ae4169ba
hex1084a7154

4434063700 has 72 divisors (see below), whose sum is σ = 10514639520. Its totient is φ = 1609622400.

The previous prime is 4434063691. The next prime is 4434063701. The reversal of 4434063700 is 73604344.

It is a super-3 number, since 3×44340637003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434063701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704166 + ... + 710434.

It is an arithmetic number, because the mean of its divisors is an integer number (146036660).

Almost surely, 24434063700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434063700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257319760).

4434063700 is an abundant number, since it is smaller than the sum of its proper divisors (6080575820).

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

4434063700 is a wasteful number, since it uses less digits than its factorization.

4434063700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 4434063700 is about 66588.7655689757. The cubic root of 4434063700 is about 1642.8603291324.

The spelling of 4434063700 in words is "four billion, four hundred thirty-four million, sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 643 1100 1286 2572 3215 6269 6430 7073 12538 12860 14146 16075 25076 28292 31345 32150 35365 62690 64300 68959 70730 125380 137918 141460 156725 176825 275836 313450 344795 353650 626900 689590 707300 1379180 1723975 3447950 4030967 6895900 8061934 16123868 20154835 40309670 44340637 80619340 88681274 100774175 177362548 201548350 221703185 403096700 443406370 886812740 1108515925 2217031850 4434063700