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8348290000 = 2454834829
BaseRepresentation
bin1111100011001100…
…01100101111010000
3210112210210001221221
413301212030233100
5114044130240000
63500220454424
7413610202621
oct76146145720
923483701857
108348290000
1135a4434926
12174b9aa414
13a3074ab8b
14592a4ba48
1533cd9761a
hex1f198cbd0

8348290000 has 50 divisors (see below), whose sum is σ = 20212069130. Its totient is φ = 3339312000.

The previous prime is 8348289973. The next prime is 8348290007. The reversal of 8348290000 is 928438.

It can be written as a sum of positive squares in 5 ways, for example, as 4233324096 + 4114965904 = 65064^2 + 64148^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8348290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 407415 + ... + 427414.

Almost surely, 28348290000 is an apocalyptic number.

8348290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8348290000 is an abundant number, since it is smaller than the sum of its proper divisors (11863779130).

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

8348290000 is an equidigital number, since it uses as much as digits as its factorization.

8348290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834857 (or 834836 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 8348290000 is about 91368.9772296921. The cubic root of 8348290000 is about 2028.6128664985.

The spelling of 8348290000 in words is "eight billion, three hundred forty-eight million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 834829 1669658 3339316 4174145 6678632 8348290 13357264 16696580 20870725 33393160 41741450 66786320 83482900 104353625 166965800 208707250 333931600 417414500 521768125 834829000 1043536250 1669658000 2087072500 4174145000 8348290000