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453440000 = 295413109
BaseRepresentation
bin11011000001101…
…111001000000000
31011121020010202002
4123001233020000
51412040040000
6112554443132
714144114336
oct3301571000
91147203662
10453440000
11212a56202
12107a334a8
1372c326c0
1444315b56
1529c1c8d5
hex1b06f200

453440000 has 200 divisors, whose sum is σ = 1230403020. Its totient is φ = 165888000.

The previous prime is 453439993. The next prime is 453440003. The reversal of 453440000 is 44354.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 61716736 + 391723264 = 7856^2 + 19792^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (453440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4159946 + ... + 4160054.

Almost surely, 2453440000 is an apocalyptic number.

453440000 is a gapful number since it is divisible by the number (40) 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 453440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615201510).

453440000 is an abundant number, since it is smaller than the sum of its proper divisors (776963020).

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

453440000 is an equidigital number, since it uses as much as digits as its factorization.

453440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 453440000 is about 21294.1306467299. The cubic root of 453440000 is about 768.2571476865.

Adding to 453440000 its reverse (44354), we get a palindrome (453484354).

The spelling of 453440000 in words is "four hundred fifty-three million, four hundred forty thousand".