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144404340 = 223529372243
BaseRepresentation
bin10001001101101…
…10111101110100
3101001201111111220
420212312331310
5243431414330
622155030340
73402262623
oct1046667564
9331644456
10144404340
1174570133
124043b3b0
1323bbcc72
141526d6ba
15ca26710
hex89b6f74

144404340 has 96 divisors (see below), whose sum is σ = 429770880. Its totient is φ = 36158976.

The previous prime is 144404333. The next prime is 144404353. The reversal of 144404340 is 43404441.

It is a super-2 number, since 2×1444043402 = 41705226821671200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144404340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63259 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (4476780).

Almost surely, 2144404340 is an apocalyptic number.

144404340 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 144404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214885440).

144404340 is an abundant number, since it is smaller than the sum of its proper divisors (285366540).

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

144404340 is a wasteful number, since it uses less digits than its factorization.

144404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144404340 is about 12016.8356899810. The cubic root of 144404340 is about 524.6384086091.

Adding to 144404340 its reverse (43404441), we get a palindrome (187808781).

The spelling of 144404340 in words is "one hundred forty-four million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 2146 2220 2243 3219 4292 4486 5365 6438 6729 8972 10730 11215 12876 13458 16095 21460 22430 26916 32190 33645 44860 64380 65047 67290 82991 130094 134580 165982 195141 248973 260188 325235 331964 390282 414955 497946 650470 780564 829910 975705 995892 1244865 1300940 1659820 1951410 2406739 2489730 3902820 4813478 4979460 7220217 9626956 12033695 14440434 24067390 28880868 36101085 48134780 72202170 144404340