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2041354000 = 245371391049
BaseRepresentation
bin111100110101100…
…1001011100010000
312021021011112020201
41321223021130100
513140041312000
6534321144544
7101405136250
oct17153113420
95237145221
102041354000
11958322524
1248b78b154
13266bc629a
14155181960
15be33096a
hex79ac9710

2041354000 has 160 divisors (see below), whose sum is σ = 5687136000. Its totient is φ = 694195200.

The previous prime is 2041353997. The next prime is 2041354001. The reversal of 2041354000 is 4531402.

It is not an unprimeable number, because it can be changed into a prime (2041354001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945476 + ... + 1946524.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 22041354000 is an apocalyptic number.

2041354000 is a gapful number since it is divisible by the number (20) 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 2041354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568000).

2041354000 is an abundant number, since it is smaller than the sum of its proper divisors (3645782000).

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

2041354000 is a wasteful number, since it uses less digits than its factorization.

2041354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2041354000 is about 45181.3457081570. The cubic root of 2041354000 is about 1268.5456723217.

Adding to 2041354000 its reverse (4531402), we get a palindrome (2045885402).

The spelling of 2041354000 in words is "two billion, forty-one million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 139 140 175 200 250 278 280 350 400 500 556 560 695 700 875 973 1000 1049 1112 1390 1400 1750 1946 2000 2098 2224 2780 2800 3475 3500 3892 4196 4865 5245 5560 6950 7000 7343 7784 8392 9730 10490 11120 13900 14000 14686 15568 16784 17375 19460 20980 24325 26225 27800 29372 34750 36715 38920 41960 48650 52450 55600 58744 69500 73430 77840 83920 97300 104900 117488 121625 131125 139000 145811 146860 183575 194600 209800 243250 262250 278000 291622 293720 367150 389200 419600 486500 524500 583244 587440 729055 734300 917875 973000 1020677 1049000 1166488 1458110 1468600 1835750 1946000 2041354 2098000 2332976 2916220 2937200 3645275 3671500 4082708 5103385 5832440 7290550 7343000 8165416 10206770 11664880 14581100 14686000 16330832 18226375 20413540 25516925 29162200 36452750 40827080 51033850 58324400 72905500 81654160 102067700 127584625 145811000 204135400 255169250 291622000 408270800 510338500 1020677000 2041354000