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144432324 = 223220032
BaseRepresentation
bin10001001101111…
…01110011000100
3101001202220220100
420212331303010
5243433313244
622155404100
73402440331
oct1046756304
9331686810
10144432324
117458a163
1240453630
1323bcc91a
1415279988
15ca2eb69
hex89bdcc4

144432324 has 27 divisors (see below), whose sum is σ = 365275183. Its totient is φ = 48120072.

The previous prime is 144432271. The next prime is 144432329. The reversal of 144432324 is 423234441.

It is a happy number.

The square root of 144432324 is 12018.

It is a perfect power (a square), and thus also a powerful number.

144432324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144432329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71107 + ... + 73109.

Almost surely, 2144432324 is an apocalyptic number.

144432324 is the 12018-th square number.

It is an amenable number.

144432324 is an abundant number, since it is smaller than the sum of its proper divisors (220842859).

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

144432324 is an equidigital number, since it uses as much as digits as its factorization.

144432324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 2008 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The cubic root of 144432324 is about 524.6722961708.

Multiplying 144432324 by its product of digits (9216), we get a square (1331088297984 = 11537282).

Adding to 144432324 its reverse (423234441), we get a palindrome (567666765).

The spelling of 144432324 in words is "one hundred forty-four million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2003 4006 6009 8012 12018 18027 24036 36054 72108 4012009 8024018 12036027 16048036 24072054 36108081 48144108 72216162 144432324