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144417330 = 2355103577
BaseRepresentation
bin10001001101110…
…10001000110010
3101001202011100000
420212322020302
5243432323310
622155210430
73402345531
oct1046721062
9331664300
10144417330
1174579972
1240446a16
1323bc5b55
1415274318
15ca2a4c0
hex89ba232

144417330 has 96 divisors (see below), whose sum is σ = 393853824. Its totient is φ = 38071296.

The previous prime is 144417319. The next prime is 144417331. The reversal of 144417330 is 33714441.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144417294 and 144417303.

It is not an unprimeable number, because it can be changed into a prime (144417331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250002 + ... + 250578.

It is an arithmetic number, because the mean of its divisors is an integer number (4102644).

Almost surely, 2144417330 is an apocalyptic number.

144417330 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 144417330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196926912).

144417330 is an abundant number, since it is smaller than the sum of its proper divisors (249436494).

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

144417330 is a wasteful number, since it uses less digits than its factorization.

144417330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 144417330 is about 12017.3761695305. The cubic root of 144417330 is about 524.6541395504.

The spelling of 144417330 in words is "one hundred forty-four million, four hundred seventeen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 243 270 309 405 486 515 577 618 810 927 1030 1154 1215 1545 1731 1854 2430 2781 2885 3090 3462 4635 5193 5562 5770 8343 8655 9270 10386 13905 15579 16686 17310 25029 25965 27810 31158 41715 46737 50058 51930 59431 77895 83430 93474 118862 125145 140211 155790 178293 233685 250290 280422 297155 356586 467370 534879 594310 701055 891465 1069758 1402110 1604637 1782930 2674395 3209274 4813911 5348790 8023185 9627822 14441733 16046370 24069555 28883466 48139110 72208665 144417330