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3640450000 = 2455116619
BaseRepresentation
bin1101100011111100…
…1101101111010000
3100101201011000120111
43120333031233100
524423423400000
61401123251104
7156133212565
oct33077155720
910351130514
103640450000
1115a8a36a70
12857219a94
134602a3735
142676bc86c
15164901cba
hexd8fcdbd0

3640450000 has 120 divisors (see below), whose sum is σ = 9619071840. Its totient is φ = 1323600000.

The previous prime is 3640449977. The next prime is 3640450003. The reversal of 3640450000 is 540463.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640450003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 546691 + ... + 553309.

It is an arithmetic number, because the mean of its divisors is an integer number (80158932).

Almost surely, 23640450000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809535920).

3640450000 is an abundant number, since it is smaller than the sum of its proper divisors (5978621840).

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

3640450000 is an equidigital number, since it uses as much as digits as its factorization.

3640450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3640450000 is about 60336.1417394251. The cubic root of 3640450000 is about 1538.3377240101.

Adding to 3640450000 its reverse (540463), we get a palindrome (3640990463).

The spelling of 3640450000 in words is "three billion, six hundred forty million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6619 6875 10000 11000 12500 13238 13750 22000 25000 26476 27500 33095 34375 50000 52952 55000 66190 68750 72809 105904 110000 132380 137500 145618 165475 264760 275000 291236 330950 364045 529520 550000 582472 661900 728090 827375 1164944 1323800 1456180 1654750 1820225 2647600 2912360 3309500 3640450 4136875 5824720 6619000 7280900 8273750 9101125 13238000 14561800 16547500 18202250 20684375 29123600 33095000 36404500 41368750 45505625 66190000 72809000 82737500 91011250 145618000 165475000 182022500 227528125 330950000 364045000 455056250 728090000 910112500 1820225000 3640450000