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16144324 = 2274412
BaseRepresentation
bin111101100101…
…011111000100
31010101012211221
4331211133010
513113104244
61334010124
7254140000
oct75453704
933335757
1016144324
119127519
1254a6944
133463471
142203700
15163d784
hexf657c4

16144324 has 45 divisors (see below), whose sum is σ = 33782861. Its totient is φ = 6750240.

The previous prime is 16144313. The next prime is 16144327. The reversal of 16144324 is 42344161.

The square root of 16144324 is 4018.

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

It can be written as a sum of positive squares in only one way, i.e., 777924 + 15366400 = 882^2 + 3920^2 .

It is not an unprimeable number, because it can be changed into a prime (16144327) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 393744 + ... + 393784.

Almost surely, 216144324 is an apocalyptic number.

16144324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16144324 is the 4018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16144324

16144324 is an abundant number, since it is smaller than the sum of its proper divisors (17638537).

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

16144324 is an frugal number, since it uses more digits than its factorization.

16144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 50 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The cubic root of 16144324 is about 252.7395967754.

Multiplying 16144324 by its sum of digits (25), we get a square (403608100 = 200902).

Multiplying 16144324 by its product of digits (2304), we get a square (37196522496 = 1928642).

Adding to 16144324 its reverse (42344161), we get a palindrome (58488485).

The spelling of 16144324 in words is "sixteen million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 343 574 686 1148 1372 1681 2009 2401 3362 4018 4802 6724 8036 9604 11767 14063 23534 28126 47068 56252 82369 98441 164738 196882 329476 393764 576583 1153166 2306332 4036081 8072162 16144324