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144330032 = 24711193607
BaseRepresentation
bin10001001101001…
…00110100110000
3101001120201120202
420212210310300
5243422030112
622153254332
73401533160
oct1046446460
9331521522
10144330032
117451a320
12404043a8
1323b951b2
14152505a0
15ca0e6c2
hex89a4d30

144330032 has 80 divisors (see below), whose sum is σ = 351025152. Its totient is φ = 55848960.

The previous prime is 144330031. The next prime is 144330047. The reversal of 144330032 is 230033441.

It is a junction number, because it is equal to n+sod(n) for n = 144329986 and 144330013.

It is not an unprimeable number, because it can be changed into a prime (144330031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 237473 + ... + 238079.

Almost surely, 2144330032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175512576).

144330032 is an abundant number, since it is smaller than the sum of its proper divisors (206695120).

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

144330032 is a wasteful number, since it uses less digits than its factorization.

144330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 144330032 is about 12013.7434632174. The cubic root of 144330032 is about 524.5484031892.

Adding to 144330032 its reverse (230033441), we get a palindrome (374363473).

The spelling of 144330032 in words is "one hundred forty-four million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 193 308 386 607 616 772 1214 1232 1351 1544 2123 2428 2702 3088 4246 4249 4856 5404 6677 8492 8498 9712 10808 13354 14861 16984 16996 21616 26708 29722 33968 33992 46739 53416 59444 67984 93478 106832 117151 118888 186956 234302 237776 373912 468604 747824 820057 937208 1288661 1640114 1874416 2577322 3280228 5154644 6560456 9020627 10309288 13120912 18041254 20618576 36082508 72165016 144330032