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4404334044 = 2231133366167
BaseRepresentation
bin1000001101000010…
…01100110111011100
3102100221112100111010
410012201030313130
533010002142134
62005012055220
7214100136015
oct40641146734
912327470433
104404334044
11196014a3a0
12a2b004510
1355261c926
142dad2600c
151ab9e2ce9
hex10684cddc

4404334044 has 24 divisors (see below), whose sum is σ = 11211032448. Its totient is φ = 1334646640.

The previous prime is 4404334037. The next prime is 4404334063.

4404334044 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44043340443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16682952 + ... + 16683215.

It is an arithmetic number, because the mean of its divisors is an integer number (467126352).

Almost surely, 24404334044 is an apocalyptic number.

4404334044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4404334044 is an abundant number, since it is smaller than the sum of its proper divisors (6806698404).

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

4404334044 is a wasteful number, since it uses less digits than its factorization.

4404334044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366185 (or 33366183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4404334044 is about 66365.1568520711. The cubic root of 4404334044 is about 1639.1803910739.

It can be divided in two parts, 44043 and 34044, that added together give a palindrome (78087).

The spelling of 4404334044 in words is "four billion, four hundred four million, three hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 33366167 66732334 100098501 133464668 200197002 367027837 400394004 734055674 1101083511 1468111348 2202167022 4404334044