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1044340020 = 223357392617
BaseRepresentation
bin111110001111110…
…101110100110100
32200210002222012000
4332033311310310
54114322340040
6251343455300
734610513043
oct7617656464
92623088160
101044340020
11496559129
122518b7530
13138493299
149c9b055a
1561a3e130
hex3e3f5d34

1044340020 has 96 divisors (see below), whose sum is σ = 3254697600. Its totient is φ = 278007552.

The previous prime is 1044340019. The next prime is 1044340049. The reversal of 1044340020 is 200434401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1044339975 and 1044340002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397752 + ... + 400368.

It is an arithmetic number, because the mean of its divisors is an integer number (33903100).

Almost surely, 21044340020 is an apocalyptic number.

1044340020 is a gapful number since it is divisible by the number (10) 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 1044340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627348800).

1044340020 is an abundant number, since it is smaller than the sum of its proper divisors (2210357580).

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

1044340020 is a wasteful number, since it uses less digits than its factorization.

1044340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1044340020 is about 32316.2500918655. The cubic root of 1044340020 is about 1014.5667851232.

Adding to 1044340020 its reverse (200434401), we get a palindrome (1244774421).

The spelling of 1044340020 in words is "one billion, forty-four million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 739 1478 2217 2617 2956 3695 4434 5234 6651 7390 7851 8868 10468 11085 13085 13302 14780 15702 19953 22170 23553 26170 26604 31404 33255 39255 39906 44340 47106 52340 66510 70659 78510 79812 94212 99765 117765 133020 141318 157020 199530 235530 282636 353295 399060 471060 706590 1413180 1933963 3867926 5801889 7735852 9669815 11603778 17405667 19339630 23207556 29009445 34811334 38679260 52217001 58018890 69622668 87028335 104434002 116037780 174056670 208868004 261085005 348113340 522170010 1044340020