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4404234240 = 21132576827
BaseRepresentation
bin1000001101000001…
…10100100000000000
3102100221100021120200
410012200310200000
533004440443430
62005010005200
7214066242030
oct40640644000
912327307520
104404234240
11196009140a
12a2ab76800
135525b6383
142dacdb8c0
151ab9c3460
hex106834800

4404234240 has 288 divisors, whose sum is σ = 17447451840. Its totient is φ = 1006534656.

The previous prime is 4404234199. The next prime is 4404234253. The reversal of 4404234240 is 424324044.

It is a happy number.

4404234240 is a `hidden beast` number, since 4 + 404 + 234 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641707 + ... + 648533.

It is an arithmetic number, because the mean of its divisors is an integer number (60581430).

Almost surely, 24404234240 is an apocalyptic number.

4404234240 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 4404234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723725920).

4404234240 is an abundant number, since it is smaller than the sum of its proper divisors (13043217600).

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

4404234240 is a wasteful number, since it uses less digits than its factorization.

4404234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4404234240 is about 66364.4049170939. The cubic root of 4404234240 is about 1639.1680094824.

Adding to 4404234240 its reverse (424324044), we get a palindrome (4828558284).

The spelling of 4404234240 in words is "four billion, four hundred four million, two hundred thirty-four thousand, two hundred forty".