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144345744 = 24324212381
BaseRepresentation
bin10001001101010…
…00101010010000
3101001121112010200
420212220222100
5243423030434
622153455200
73401630034
oct1046505220
9331545120
10144345744
1174530104
1240411500
1323b9c3aa
14152561c4
15ca14199
hex89a8a90

144345744 has 60 divisors (see below), whose sum is σ = 405097212. Its totient is φ = 47980800.

The previous prime is 144345743. The next prime is 144345763. The reversal of 144345744 is 447543441.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 144000000 = 588^2 + 12000^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 144345699 and 144345708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144345743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59434 + ... + 61814.

Almost surely, 2144345744 is an apocalyptic number.

It is an amenable number.

144345744 is an abundant number, since it is smaller than the sum of its proper divisors (260751468).

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

144345744 is a wasteful number, since it uses less digits than its factorization.

144345744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2807 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 144345744 is about 12014.3973631639. The cubic root of 144345744 is about 524.5674368936.

It can be divided in two parts, 144 and 345744, that multiplied together give a 4-th power (49787136 = 844).

The spelling of 144345744 in words is "one hundred forty-four million, three hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 421 842 1263 1684 2381 2526 3368 3789 4762 5052 6736 7143 7578 9524 10104 14286 15156 19048 20208 21429 28572 30312 38096 42858 57144 60624 85716 114288 171432 342864 1002401 2004802 3007203 4009604 6014406 8019208 9021609 12028812 16038416 18043218 24057624 36086436 48115248 72172872 144345744