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454368 = 2534733
BaseRepresentation
bin1101110111011100000
3212002021110
41232323200
5104014433
613423320
73601455
oct1567340
9762243
10454368
11290412
1219ab40
1312ba75
14bb82c
158e963
hex6eee0

454368 has 24 divisors (see below), whose sum is σ = 1192968. Its totient is φ = 151424.

The previous prime is 454361. The next prime is 454379. The reversal of 454368 is 863454.

454368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454361) by changing a digit.

454368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2271 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (49707).

2454368 is an apocalyptic number.

454368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

454368 is an abundant number, since it is smaller than the sum of its proper divisors (738600).

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

454368 is a wasteful number, since it uses less digits than its factorization.

454368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 454368 is about 674.0682458030. The cubic root of 454368 is about 76.8780889763.

The spelling of 454368 in words is "four hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4733 9466 14199 18932 28398 37864 56796 75728 113592 151456 227184 454368