Search a number
-
+
453352064 = 2711321983
BaseRepresentation
bin11011000001011…
…001101010000000
31011121001200010012
4123001121222000
51412024231224
6112552524052
714143300064
oct3301315200
91147050105
10453352064
112129a6130
121079b0628
1372c01679
14442d1aa4
1529c0180e
hex1b059a80

453352064 has 32 divisors (see below), whose sum is σ = 985271040. Its totient is φ = 206068480.

The previous prime is 453352013. The next prime is 453352069. The reversal of 453352064 is 460253354.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 453352064.

It is not an unprimeable number, because it can be changed into a prime (453352069) 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 3 ways as a sum of consecutive naturals, for example, 159584 + ... + 162399.

It is an arithmetic number, because the mean of its divisors is an integer number (30789720).

Almost surely, 2453352064 is an apocalyptic number.

453352064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

453352064 is an abundant number, since it is smaller than the sum of its proper divisors (531918976).

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

453352064 is a wasteful number, since it uses less digits than its factorization.

453352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322008 (or 321996 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 453352064 is about 21292.0657522937. The cubic root of 453352064 is about 768.2074815578.

The spelling of 453352064 in words is "four hundred fifty-three million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 321983 643966 1287932 2575864 3541813 5151728 7083626 10303456 14167252 20606912 28334504 41213824 56669008 113338016 226676032 453352064