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144400 = 2452192
BaseRepresentation
bin100011010000010000
321100002011
4203100100
514110100
63032304
71140664
oct432020
9240064
10144400
1199543
126b694
1350959
143a8a4
152cbba
hex23410

144400 has 45 divisors (see below), whose sum is σ = 366141. Its totient is φ = 54720.

The previous prime is 144383. The next prime is 144407. The reversal of 144400 is 4441.

Multipling 144400 by its product of nonzero digits (64), we get a square (9241600 = 30402).

Adding to 144400 its reverse (4441), we get a palindrome (148841).

It can be divided in two parts, 144 and 400, that multiplied together give a square (57600 = 2402).

144400 = T379 + T380.

It is a happy number.

The square root of 144400 is 380.

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., 51984 + 92416 = 228^2 + 304^2 .

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (144407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7591 + ... + 7609.

2144400 is an apocalyptic number.

144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144400 is the 380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144400

144400 is an abundant number, since it is smaller than the sum of its proper divisors (221741).

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

144400 is a wasteful number, since it uses less digits than its factorization.

144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The cubic root of 144400 is about 52.4633152642.

The spelling of 144400 in words is "one hundred forty-four thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 14440 18050 28880 36100 72200 144400