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1453342400 = 26522373541
BaseRepresentation
bin101011010100000…
…0011111011000000
310202021201102222022
41112220003323000
510434023424100
6400114101012
751005130566
oct12650037300
93667642868
101453342400
11686412724
1234687a768
131a2137323
14db039a36
15878cee85
hex56a03ec0

1453342400 has 168 divisors, whose sum is σ = 3789724704. Its totient is φ = 547430400.

The previous prime is 1453342399. The next prime is 1453342421. The reversal of 1453342400 is 42433541.

It is a super-2 number, since 2×14533424002 = 4224408263275520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453342400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686130 + ... + 2686670.

Almost surely, 21453342400 is an apocalyptic number.

1453342400 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 1453342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894862352).

1453342400 is an abundant number, since it is smaller than the sum of its proper divisors (2336382304).

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

1453342400 is a wasteful number, since it uses less digits than its factorization.

1453342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1453342400 is about 38122.7281290308. The cubic root of 1453342400 is about 1132.7202066164.

Adding to 1453342400 its reverse (42433541), we get a palindrome (1495775941).

The spelling of 1453342400 in words is "one billion, four hundred fifty-three million, three hundred forty-two thousand, four hundred".