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144303930 = 2345672659
BaseRepresentation
bin10001001100111…
…10011100111010
3101001112101210000
420212132130322
5243420211210
622152533430
73401364111
oct1046363472
9331471700
10144303930
1174501751
12403b1276
1323b86354
1415244c78
15ca06ac0
hex899e73a

144303930 has 80 divisors (see below), whose sum is σ = 393956640. Its totient is φ = 37892448.

The previous prime is 144303923. The next prime is 144303937. The reversal of 144303930 is 39303441.

It is an interprime number because it is at equal distance from previous prime (144303923) and next prime (144303937).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144303894 and 144303903.

It is not an unprimeable number, because it can be changed into a prime (144303937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52941 + ... + 55599.

It is an arithmetic number, because the mean of its divisors is an integer number (4924458).

Almost surely, 2144303930 is an apocalyptic number.

144303930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144303930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196978320).

144303930 is an abundant number, since it is smaller than the sum of its proper divisors (249652710).

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

144303930 is a wasteful number, since it uses less digits than its factorization.

144303930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 144303930 is about 12012.6570749356. The cubic root of 144303930 is about 524.5167798611.

The spelling of 144303930 in words is "one hundred forty-four million, three hundred three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 270 335 402 405 603 670 810 1005 1206 1809 2010 2659 3015 3618 5318 5427 6030 7977 9045 10854 13295 15954 18090 23931 26590 27135 39885 47862 54270 71793 79770 119655 143586 178153 215379 239310 356306 358965 430758 534459 717930 890765 1068918 1076895 1603377 1781530 2153790 2672295 3206754 4810131 5344590 8016885 9620262 14430393 16033770 24050655 28860786 48101310 72151965 144303930