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144604304 = 24131973529
BaseRepresentation
bin10001001111001…
…11110010010000
3101002002122210222
420213213302100
5244004314204
622203212212
73404054615
oct1047476220
9332078728
10144604304
1174697399
1240517068
1323c5cca0
14152c250c
15ca65abe
hex89e7c90

144604304 has 40 divisors (see below), whose sum is σ = 303339960. Its totient is φ = 66382848.

The previous prime is 144604303. The next prime is 144604319. The reversal of 144604304 is 403406441.

It can be written as a sum of positive squares in 4 ways, for example, as 11155600 + 133448704 = 3340^2 + 11552^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (144604303) 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, 39212 + ... + 42740.

It is an arithmetic number, because the mean of its divisors is an integer number (7583499).

Almost surely, 2144604304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144604304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151669980).

144604304 is an abundant number, since it is smaller than the sum of its proper divisors (158735656).

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

144604304 is a wasteful number, since it uses less digits than its factorization.

144604304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3741 counting only the distinct ones).

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

The square root of 144604304 is about 12025.1529720000. The cubic root of 144604304 is about 524.8804613705.

The spelling of 144604304 in words is "one hundred forty-four million, six hundred four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 3529 5122 7058 10244 14116 20488 28232 40976 45877 56464 91754 183508 367016 695213 734032 1390426 2780852 5561704 9037769 11123408 18075538 36151076 72302152 144604304