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144334350 = 23252417823
BaseRepresentation
bin10001001101001…
…01111000001110
3101001120221111200
420212211320032
5243422144400
622153330330
73401551566
oct1046457016
9331527450
10144334350
1174522596
12404069a6
1323b97154
1415251da6
15ca10b00
hex89a5e0e

144334350 has 72 divisors (see below), whose sum is σ = 397287072. Its totient is φ = 37545600.

The previous prime is 144334331. The next prime is 144334367. The reversal of 144334350 is 53433441.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14539 + ... + 22361.

It is an arithmetic number, because the mean of its divisors is an integer number (5517876).

Almost surely, 2144334350 is an apocalyptic number.

144334350 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 144334350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198643536).

144334350 is an abundant number, since it is smaller than the sum of its proper divisors (252952722).

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

144334350 is a wasteful number, since it uses less digits than its factorization.

144334350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7874 counting only the distinct ones).

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

The square root of 144334350 is about 12013.9231727192. The cubic root of 144334350 is about 524.5536342036.

Adding to 144334350 its reverse (53433441), we get a palindrome (197767791).

Subtracting from 144334350 its reverse (53433441), we obtain a palindrome (90900909).

The spelling of 144334350 in words is "one hundred forty-four million, three hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 7823 9225 15646 18450 23469 39115 46938 70407 78230 117345 140814 195575 234690 320743 352035 391150 586725 641486 704070 962229 1173450 1603715 1760175 1924458 2886687 3207430 3520350 4811145 5773374 8018575 9622290 14433435 16037150 24055725 28866870 48111450 72167175 144334350