Search a number
-
+
146434644 = 22324067629
BaseRepresentation
bin10001011101001…
…10101001010100
3101012112122120100
420232212221110
5244441402034
622310334100
73425450106
oct1056465124
9335478510
10146434644
1175727574
124105a330
1324451125
141563b576
15ccc8099
hex8ba6a54

146434644 has 18 divisors (see below), whose sum is σ = 370154330. Its totient is φ = 48811536.

The previous prime is 146434621. The next prime is 146434649. The reversal of 146434644 is 446434641.

146434644 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 3 + 4 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143712144 + 2722500 = 11988^2 + 1650^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4067629 = 146434644 / (1 + 4 + 6 + 4 + 3 + 4 + 6 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146434599 and 146434608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146434649) 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 5 ways as a sum of consecutive naturals, for example, 2033779 + ... + 2033850.

Almost surely, 2146434644 is an apocalyptic number.

It is an amenable number.

146434644 is an abundant number, since it is smaller than the sum of its proper divisors (223719686).

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

146434644 is a wasteful number, since it uses less digits than its factorization.

146434644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067639 (or 4067634 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 146434644 is about 12101.0183042585. The cubic root of 146434644 is about 527.0857543061.

The spelling of 146434644 in words is "one hundred forty-six million, four hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4067629 8135258 12202887 16270516 24405774 36608661 48811548 73217322 146434644