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144345924 = 22325375653
BaseRepresentation
bin10001001101010…
…00101101000100
3101001121112101100
420212220231010
5243423032144
622153500100
73401630412
oct1046505504
9331545340
10144345924
1174530258
1240411630
1323b9c4b8
14152562b2
15ca14269
hex89a8b44

144345924 has 36 divisors (see below), whose sum is σ = 371763756. Its totient is φ = 47206848.

The previous prime is 144345913. The next prime is 144345931. The reversal of 144345924 is 429543441.

It can be written as a sum of positive squares in 2 ways, for example, as 92505924 + 51840000 = 9618^2 + 7200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35919 + ... + 39734.

It is an arithmetic number, because the mean of its divisors is an integer number (10326771).

Almost surely, 2144345924 is an apocalyptic number.

It is an amenable number.

144345924 is an abundant number, since it is smaller than the sum of its proper divisors (227417832).

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

144345924 is a wasteful number, since it uses less digits than its factorization.

144345924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75716 (or 75711 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 144345924 is about 12014.4048541740. The cubic root of 144345924 is about 524.5676549397.

The spelling of 144345924 in words is "one hundred forty-four million, three hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 75653 151306 226959 302612 453918 680877 907836 1361754 2723508 4009609 8019218 12028827 16038436 24057654 36086481 48115308 72172962 144345924