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146338468 = 22971372753
BaseRepresentation
bin10001011100011…
…11001010100100
3101012100202122021
420232033022210
5244430312333
622304312524
73424566523
oct1056171244
9335322567
10146338468
1175671291
1241012744
1324419413
14156144ba
15cca982d
hex8b8f2a4

146338468 has 24 divisors (see below), whose sum is σ = 260715672. Its totient is φ = 71860224.

The previous prime is 146338463. The next prime is 146338469. The reversal of 146338468 is 864833641.

146338468 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 4 ways, for example, as 56430144 + 89908324 = 7512^2 + 9482^2 .

It is not an unprimeable number, because it can be changed into a prime (146338463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51780 + ... + 54532.

It is an arithmetic number, because the mean of its divisors is an integer number (10863153).

Almost surely, 2146338468 is an apocalyptic number.

It is an amenable number.

146338468 is a deficient number, since it is larger than the sum of its proper divisors (114377204).

146338468 is a wasteful number, since it uses less digits than its factorization.

146338468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2989 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 146338468 is about 12097.0437711037. The cubic root of 146338468 is about 526.9703351213.

The spelling of 146338468 in words is "one hundred forty-six million, three hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 97 137 194 274 388 548 2753 5506 11012 13289 26578 53156 267041 377161 534082 754322 1068164 1508644 36584617 73169234 146338468