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273030144 = 2103314761
BaseRepresentation
bin10000010001100…
…001110000000000
3201000202100221120
4100101201300000
51024343431034
643031552240
76523501152
oct2021416000
9630670846
10273030144
11130133652
127752b680
13447470ca
1428392ad2
1518e82c49
hex10461c00

273030144 has 176 divisors, whose sum is σ = 779759616. Its totient is φ = 84787200.

The previous prime is 273030119. The next prime is 273030167. The reversal of 273030144 is 441030372.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4475874 + ... + 4475934.

Almost surely, 2273030144 is an apocalyptic number.

273030144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389879808).

273030144 is an abundant number, since it is smaller than the sum of its proper divisors (506729472).

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

273030144 is a wasteful number, since it uses less digits than its factorization.

273030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 273030144 is about 16523.6238156162. The cubic root of 273030144 is about 648.7392873220.

The spelling of 273030144 in words is "two hundred seventy-three million, thirty thousand, one hundred forty-four".