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144354330 = 2325792257
BaseRepresentation
bin10001001101010…
…10110000011010
3101001121221220200
420212222300122
5243423314310
622154003030
73401664051
oct1046526032
9331557820
10144354330
11745365aa
1240416476
1323ba3283
1415259398
15ca169c0
hex89aac1a

144354330 has 72 divisors (see below), whose sum is σ = 381611412. Its totient is φ = 37859328.

The previous prime is 144354319. The next prime is 144354377. The reversal of 144354330 is 33453441.

144354330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134861769 + 9492561 = 11613^2 + 3081^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144354294 and 144354303.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561562 + ... + 561818.

Almost surely, 2144354330 is an apocalyptic number.

144354330 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 144354330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190805706).

144354330 is an abundant number, since it is smaller than the sum of its proper divisors (237257082).

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

144354330 is a wasteful number, since it uses less digits than its factorization.

144354330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 346 counting only the distinct ones).

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

The square root of 144354330 is about 12014.7546791435. The cubic root of 144354330 is about 524.5778374928.

The spelling of 144354330 in words is "one hundred forty-four million, three hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 257 395 474 514 711 771 790 1185 1285 1422 1542 2313 2370 2570 3555 3855 4626 6241 7110 7710 11565 12482 18723 20303 23130 31205 37446 40606 56169 60909 62410 93615 101515 112338 121818 182727 187230 203030 280845 304545 365454 561690 609090 913635 1603937 1827270 3207874 4811811 8019685 9623622 14435433 16039370 24059055 28870866 48118110 72177165 144354330