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146443400 = 2352732217
BaseRepresentation
bin10001011101010…
…00110010001000
3101012120002120122
420232220302020
5244442142100
622310442412
73425514455
oct1056506210
9335502518
10146443400
1175733104
1241063408
13244550cc
141564082c
15ccca985
hex8ba8c88

146443400 has 24 divisors (see below), whose sum is σ = 340481370. Its totient is φ = 58577280.

The previous prime is 146443391. The next prime is 146443403. The reversal of 146443400 is 4344641.

146443400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 133033156 + 13410244 = 11534^2 + 3662^2 .

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 146443400.

It is not an unprimeable number, because it can be changed into a prime (146443403) 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 5 ways as a sum of consecutive naturals, for example, 365909 + ... + 366308.

Almost surely, 2146443400 is an apocalyptic number.

146443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146443400 is an abundant number, since it is smaller than the sum of its proper divisors (194037970).

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

146443400 is a wasteful number, since it uses less digits than its factorization.

146443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732233 (or 732224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 146443400 is about 12101.3800865852. The cubic root of 146443400 is about 527.0962597228.

The spelling of 146443400 in words is "one hundred forty-six million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 732217 1464434 2928868 3661085 5857736 7322170 14644340 18305425 29288680 36610850 73221700 146443400