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146311668 = 22324064213
BaseRepresentation
bin10001011100010…
…00100111110100
3101012022101212200
420232020213310
5244423433133
622303544500
73424425426
oct1056104764
9335271780
10146311668
1175653138
1240bbb130
132440a169
1415608816
15cca1913
hex8b889f4

146311668 has 18 divisors (see below), whose sum is σ = 369843474. Its totient is φ = 48770544.

The previous prime is 146311643. The next prime is 146311679. The reversal of 146311668 is 866113641.

146311668 is a `hidden beast` number, since 1 + 4 + 631 + 16 + 6 + 8 = 666.

146311668 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 only one way, i.e., 73925604 + 72386064 = 8598^2 + 8508^2 .

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: 4064213 = 146311668 / (1 + 4 + 6 + 3 + 1 + 1 + 6 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

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, 2032071 + ... + 2032142.

Almost surely, 2146311668 is an apocalyptic number.

146311668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146311668 is an abundant number, since it is smaller than the sum of its proper divisors (223531806).

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

146311668 is a wasteful number, since it uses less digits than its factorization.

146311668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064223 (or 4064218 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 146311668 is about 12095.9360117355. The cubic root of 146311668 is about 526.9381638875.

It can be divided in two parts, 1463 and 11668, that added together give a palindrome (13131).

The spelling of 146311668 in words is "one hundred forty-six million, three hundred eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4064213 8128426 12192639 16256852 24385278 36577917 48770556 73155834 146311668