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144334336 = 291937401
BaseRepresentation
bin10001001101001…
…01111000000000
3101001120221111011
420212211320000
5243422144321
622153330304
73401551546
oct1046457000
9331527434
10144334336
1174522583
1240406994
1323b97143
1415251d96
15ca10ae1
hex89a5e00

144334336 has 80 divisors (see below), whose sum is σ = 312546960. Its totient is φ = 66355200.

The previous prime is 144334331. The next prime is 144334367. The reversal of 144334336 is 633433441.

It is a junction number, because it is equal to n+sod(n) for n = 144334298 and 144334307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144334331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359736 + ... + 360136.

It is an arithmetic number, because the mean of its divisors is an integer number (3906837).

Almost surely, 2144334336 is an apocalyptic number.

144334336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156273480).

144334336 is an abundant number, since it is smaller than the sum of its proper divisors (168212624).

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

144334336 is an equidigital number, since it uses as much as digits as its factorization.

144334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its digits is 31104, while the sum is 31.

The square root of 144334336 is about 12013.9225900619. The cubic root of 144334336 is about 524.5536172436.

Adding to 144334336 its reverse (633433441), we get a palindrome (777767777).

It can be divided in two parts, 14433 and 4336, that added together give a square (18769 = 1372).

The spelling of 144334336 in words is "one hundred forty-four million, three hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 401 512 592 608 703 802 1184 1216 1406 1604 2368 2432 2812 3208 4736 4864 5624 6416 7619 9472 9728 11248 12832 14837 15238 18944 22496 25664 29674 30476 44992 51328 59348 60952 89984 102656 118696 121904 179968 205312 237392 243808 281903 359936 474784 487616 563806 949568 975232 1127612 1899136 1950464 2255224 3798272 3900928 4510448 7596544 9020896 18041792 36083584 72167168 144334336