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144297348 = 223137312671
BaseRepresentation
bin10001001100111…
…00110110000100
3101001112001202020
420212130312010
5243420003343
622152443140
73401335656
oct1046346604
9331461666
10144297348
11744a7808
12403a94b0
1323b83360
14152426d6
15ca04b83
hex899cd84

144297348 has 48 divisors (see below), whose sum is σ = 367589376. Its totient is φ = 43787520.

The previous prime is 144297341. The next prime is 144297353. The reversal of 144297348 is 843792441.

It is not an unprimeable number, because it can be changed into a prime (144297341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5053 + ... + 17723.

It is an arithmetic number, because the mean of its divisors is an integer number (7658112).

Almost surely, 2144297348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144297348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183794688).

144297348 is an abundant number, since it is smaller than the sum of its proper divisors (223292028).

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

144297348 is a wasteful number, since it uses less digits than its factorization.

144297348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764 (or 12762 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 144297348 is about 12012.3831107736. The cubic root of 144297348 is about 524.5088049757.

It can be divided in two parts, 1442 and 97348, that added together give a triangular number (98790 = T444).

The spelling of 144297348 in words is "one hundred forty-four million, two hundred ninety-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1898 2847 3796 5694 11388 12671 25342 38013 50684 76026 152052 164723 329446 494169 658892 924983 988338 1849966 1976676 2774949 3699932 5549898 11099796 12024779 24049558 36074337 48099116 72148674 144297348