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4440034104 = 23311157107123
BaseRepresentation
bin1000010001010010…
…11000101100111000
3102110102201002202120
410020221120230320
533043122042404
62012325201240
7215012444562
oct41051305470
912412632676
104440034104
111979313380
12a3ab60220
13559b3c21c
1430197a332
151aebe59d9
hex108a58b38

4440034104 has 64 divisors (see below), whose sum is σ = 12186426240. Its totient is φ = 1336882560.

The previous prime is 4440034051. The next prime is 4440034139. The reversal of 4440034104 is 4014300444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12114 + ... + 95009.

It is an arithmetic number, because the mean of its divisors is an integer number (190412910).

Almost surely, 24440034104 is an apocalyptic number.

4440034104 is a gapful number since it is divisible by the number (44) 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 4440034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093213120).

4440034104 is an abundant number, since it is smaller than the sum of its proper divisors (7746392136).

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

4440034104 is a wasteful number, since it uses less digits than its factorization.

4440034104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107300 (or 107296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4440034104 is about 66633.5809033253. The cubic root of 4440034104 is about 1643.5973611554.

Adding to 4440034104 its reverse (4014300444), we get a palindrome (8454334548).

The spelling of 4440034104 in words is "four billion, four hundred forty million, thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 41448 107123 214246 321369 428492 642738 856984 1178353 1285476 2356706 2570952 3535059 4713412 7070118 9426824 14140236 16818311 28280472 33636622 50454933 67273244 100909866 134546488 185001421 201819732 370002842 403639464 555004263 740005684 1110008526 1480011368 2220017052 4440034104