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144335340 = 22325839661
BaseRepresentation
bin10001001101001…
…10000111101100
3101001120222212100
420212212013230
5243422212330
622153335100
73401554512
oct1046460754
9331528770
10144335340
1174523306
1240407490
1323b97736
14152524b2
15ca11060
hex89a61ec

144335340 has 72 divisors (see below), whose sum is σ = 443137968. Its totient is φ = 38021760.

The previous prime is 144335309. The next prime is 144335341. The reversal of 144335340 is 43533441.

144335340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144335341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10110 + ... + 19770.

It is an arithmetic number, because the mean of its divisors is an integer number (6154694).

Almost surely, 2144335340 is an apocalyptic number.

144335340 is a gapful number since it is divisible by the number (10) 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 144335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221568984).

144335340 is an abundant number, since it is smaller than the sum of its proper divisors (298802628).

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

144335340 is a wasteful number, since it uses less digits than its factorization.

144335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 144335340 is about 12013.9643748431. The cubic root of 144335340 is about 524.5548335183.

Adding to 144335340 its reverse (43533441), we get a palindrome (187868781).

The spelling of 144335340 in words is "one hundred forty-four million, three hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 9661 14940 19322 28983 38644 48305 57966 86949 96610 115932 144915 173898 193220 289830 347796 434745 579660 801863 869490 1603726 1738980 2405589 3207452 4009315 4811178 7216767 8018630 9622356 12027945 14433534 16037260 24055890 28867068 36083835 48111780 72167670 144335340